User:Magnus Manske/Mix'n'match report/1503

A report for the Mix'n'match tool. This page will be replaced regularly! Please note:

• If you fix something from this list on Wikidata, please fix it on Mix'n'match as well, if applicable. Otherwise, the error might be re-introduced from there.
• 'External ID' refers to the IDs in the original (external) catalog; the same as the statement value for the associated property.

OEIS

identifer on the On-Line Encyclopedia of Integer Sequences

Unknown external ID

External ID	Item
A344856	Jellyfish Hearts sequence (Q107209392)

Different items for the same external ID

External ID	External label	Item in Wikidata	Item in Mix'n'Match	Mix'n'match entry
A000027	The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous	positive integer (Q28920044)	21199}}	56242829
A000041	a(n) = number of partitions of n (the partition numbers).	partition (Q1082910)	15846551}}	56242843
A000330	Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.	square pyramidal number (Q18949)	1398443}}	56243132
A000668	Mersenne primes (of form 2^p - 1 where p is a prime).	Mersenne prime (Q186875)	10338607}}	56243470
A001221	Number of distinct primes dividing n (also called omega(n)).	number of distinct prime divisors (Q104120330)	104120010}}	56244023
A001477	The nonnegative integers.	non-negative integer (Q28920052)	21199}}	56244279
A005117	Squarefree numbers: numbers that are not divisible by a square greater than 1.	square-free integer (Q50706)	2509291}}	56247921
A080075	Proth numbers: of the form k*2^m + 1 for k odd, m >= 1 and 2^m > k.	Proth prime (Q77717996)	593418}}	56322974
A080076	Proth primes: primes of the form k*2^m + 1 with odd k < 2^m, m >= 1.	Proth number (Q593418)	3771212}}	56322975

Same item for multiple external IDs in Mix'n'match

Item in Mix'n'Match	Mix'n'match entry	External ID	External label
natural number (Q21199)	56242829	A000027	The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous
	56244279	A001477	The nonnegative integers.
Cullen number (Q532389)	56248653	A005849	Prime Cullen numbers: numbers n such that n*2^n + 1 is prime.
	56483223	A240234	Least number k such that k*n^k + 1 is prime, or 0 if no such number exists.
Apéry's constant (Q622682)	56244919	A002117	Decimal expansion of zeta(3) = Sum_{m>=1} 1/m^3.
	56256442	A013631	Continued fraction for zeta(3).
Feigenbaum constants (Q673184)	56249694	A006890	Decimal expansion of Feigenbaum bifurcation velocity.
	56249695	A006891	Decimal expansion of Feigenbaum reduction parameter.
Bernoulli number (Q694114)	56270461	A027641	Numerator of Bernoulli number B_n.
	56270462	A027642	Denominator of Bernoulli number B_n.
betrothed numbers (Q846701)	56246305	A003502	The smaller of a betrothed pair.
	56246306	A003503	The larger of a betrothed pair.
sexy prime (Q1194842)	56266017	A023201	Sexy primes: numbers n such that n and n + 6 are both prime.
	56288962	A046117	Primes p such that p-6 is also prime.
square triangular number (Q1885380)	56243902	A001100	Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <
	56243912	A001110	Square triangular numbers: numbers that are both triangular and square.
reciprocal Fibonacci constant (Q3772671)	56322483	A079586	Decimal expansion of Sum_{k>=1} 1/F(k) where F(k) is the k-th Fibonacci number A000045 (k).
	56322484	A079587	Continued fraction expansion of sum(k>=1,1/F(k)) where F(k) is the k-th Fibonacci number A000045 (k).
Mersenne number (Q10338607)	56243027	A000225	a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348 .)
	56243470	A000668	Mersenne primes (of form 2^p - 1 where p is a prime).
Abacaba pattern (Q48969138)	56244313	A001511	The ruler function: 2^a(n) divides 2n. Or, a(n) = 2-adic valuation of 2n.
	56250618	A007814	Exponent of highest power of 2 dividing n, a.k.a. the binary carry sequence, the ruler sequence, or the 2-adic valuation of n.

Multiple items for the same external ID in Wikidata

External ID	Items in Mix'n'Match
A000041	partition (Q1082910) partition function (Q15846551)
A000330	square pyramidal number (Q18949) Faulhaber's formula (Q1398443)
A001221	number of distinct prime divisors (Q104120010) number of distinct prime divisors (Q104120330)
A080076	Proth number (Q593418) Proth's theorem (Q3771212)