A073470 Trisection of A007294.

1, 2, 4, 6, 10, 15, 22, 32, 44, 60, 81, 107, 141, 181, 233, 295, 372, 465, 575, 710, 869, 1059, 1286, 1549, 1863, 2225, 2654, 3149, 3724, 4391, 5157, 6043, 7059, 8220, 9553, 11066, 12798, 14760, 16988, 19509, 22357, 25576, 29200, 33274, 37856, 42985

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Formula

a(n) ~ exp(3^(4/3) * Pi^(1/3) * zeta(3/2)^(2/3) * n^(1/3) / 2) * zeta(3/2) / (9 * Pi * 2^(7/2) * n^(3/2)) * (1 + (9*Pi * zeta(1/2) * zeta(3/2) - 280) / (16 * 3^(7/3) * Pi^(1/3) * zeta(3/2)^(2/3) * n^(1/3))). - Vaclav Kotesovec, Mar 08 2026

Prog

(Magma) function a007294(n, k) return n gt k*(k+1)/2 select a007294(n-k*(k+1)/2, k) + a007294(n, k+1) else n eq k*(k+1)/2 select 1 else 0; end function; [ a007294(n, 1): n in [0..135 by 3] ]; // Klaus Brockhaus, Jan 23 2009

Crossrefs

Cf. A007294, A073471, A073472.

Sequence in context: A152415 A175826 A304630 * A086182 A035294 A073818

Adjacent sequences: A073467 A073468 A073469 * A073471 A073472 A073473

Keyword

nonn

Author

Randall L Rathbun, Aug 26 2002

Extensions

More terms from Klaus Brockhaus, Jan 23 2009

Status

approved