A086741 a(n) = A026905(n) - A014284(n).

0, 0, 0, 0, 0, 0, 2, 7, 18, 37, 64, 110, 174, 268, 401, 585, 829, 1155, 1584, 2144, 2865, 3794, 4970, 6462, 8331, 10670, 13579, 17194, 21652, 27147, 33876, 42098, 52110, 64283, 79027, 96855, 118341, 144199, 175221, 212392, 256802, 309797, 372877, 447861, 536802, 642163, 766718, 913780

Offset

1,7

Comments

Partial sums of partition numbers - partial sums of primes, if 1 is considered as a prime.

Links

Table of n, a(n) for n=1..48.

Prog

(PARI) a(n) = sum(k=1, n, numbpart(k)) - (1 + vecsum(primes(n-1))); \\ Michel Marcus, Aug 10 2023

Crossrefs

Cf. A026905, A014284.

Sequence in context: A342397 A212685 A176854 * A229183 A051743 A054111

Adjacent sequences: A086738 A086739 A086740 * A086742 A086743 A086744

Keyword

nonn,less

Author

Jon Perry, Jul 29 2003

Extensions

More terms from Michel Marcus, Aug 10 2023

Status

approved