A128378 Partial sums of A128379.

1, 0, -24, -24, 252, 552, -1196, -5496, -1218, 27808, 50532, -44136, -286534, -305256, 551724, 2023976, 1639485, -3659784, -11484752, -9396720, 16258722, 55073200, 55004040, -44731872, -220443155, -289179552, 5590128, 691963304, 1254552228, 741227832, -1414045956

Offset

1,3

Comments

Conjecture: Given the infinite set of sequences generated from using the partial sum operator on A000594, (i.e. A000012^k * A000594, k in succession = 1, 2, 3, ...), k = 23 and k = 24 are the only two sequences in the set with zeros. In A128379, k = 23: (1, -1, -24, 0, 276, 300, -1748, -4300, ...).

Links

Table of n, a(n) for n=1..31.

Formula

A000012^24 * A000594; (partial sum operator performed 24 times on A000594).

Mathematica

Nest[Accumulate, RamanujanTau[Range[32]], 24] (* Amiram Eldar, Jan 08 2025 *)

Crossrefs

Cf. A000012, A000594, A128379.

Sequence in context: A334570 A056465 A056455 * A165845 A189049 A239153

Adjacent sequences: A128375 A128376 A128377 * A128379 A128380 A128381

Keyword

sign

Author

Gary W. Adamson, Feb 28 2007

Status

approved