A195364 Number of partitions of n plus number of divisors of n.

2, 4, 5, 8, 9, 15, 17, 26, 33, 46, 58, 83, 103, 139, 180, 236, 299, 391, 492, 633, 796, 1006, 1257, 1583, 1961, 2440, 3014, 3724, 4567, 5612, 6844, 8355, 10147, 12314, 14887, 17986, 21639, 26019, 31189, 37346, 44585, 53182, 63263, 75181, 89140, 105562, 124756

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = p(n) + d(n) = A000041(n) + A000005(n).

Mathematica

Table[PartitionsP[n]+DivisorSigma[0, n], {n, 50}] (* Harvey P. Dale, Feb 16 2025 *)

Prog

(PARI) al(n)=vector(n, k, numbpart(k)+numdiv(k))

Crossrefs

Cf. A000041, A000005, A144300.

Sequence in context: A280050 A360772 A271392 * A279793 A305076 A332223

Adjacent sequences: A195361 A195362 A195363 * A195365 A195366 A195367

Keyword

nonn

Author

Franklin T. Adams-Watters, Sep 16 2011

Status

approved