A087182 Number partition numbers <= P(n) of the form 3*k+2 (P = A000041).

0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 18, 19, 20, 20, 21, 21, 21, 21, 21, 22, 22, 23, 23, 24

Offset

0,5

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Partition Function.

Eric Weisstein's World of Mathematics, Partition Function P Congruences.

Formula

A087180(n) + A087181(n) + a(n) = n + 1.

Mathematica

Accumulate[Table[Boole[Mod[PartitionsP[n], 3] == 2], {n, 0, 100}]] (* Amiram Eldar, May 22 2025 *)

Crossrefs

Cf. A000041, A068907, A071754, A087177, A087180, A087181, A087185.

Sequence in context: A025785 A227002 A343118 * A035453 A272605 A235703

Adjacent sequences: A087179 A087180 A087181 * A087183 A087184 A087185

Keyword

nonn

Author

Reinhard Zumkeller, Aug 23 2003

Status

approved