A128381 A007318^24 * A000594.

1, 0, -324, -10976, -260898, -4919184, -67536616, -212659776, 28757879829, 1419855850728, 48139832128404, 1387340166285216, 36039677403855158, 861269016060967824, 18976682736434056968, 379832429643337648960, 6586595998856413482930, 83878202724395340243384, 7117837083803882256428

Offset

0,3

Comments

Conjecture: given the bto performed any k times on A000594 (k = 1, 2, 3, ...); k = 6 and k = 24 are the only members of the set with zeros. k = 6 generates (1, -18, 0, 688, 4494, 5508, ...).

Links

Table of n, a(n) for n=0..18.

Formula

Binomial transform operation performed 24 times on A000594, assuming A000594 has offset zero.

Mathematica

Nest[Table[Sum[Binomial[n-1, k-1] * #[[k]], {k, 1, n}], {n, 1, Length[#]}] &, RamanujanTau[Range[19]], 24] (* Amiram Eldar, Jan 08 2025 *)

Crossrefs

Cf. A007318, A000594, A128378, A128379, A128380, A128382.

Sequence in context: A233639 A203374 A183358 * A128992 A221399 A204082

Adjacent sequences: A128378 A128379 A128380 * A128382 A128383 A128384

Keyword

sign

Author

Gary W. Adamson, Feb 28 2007

Status

approved