A128380 A097806^24 * A000594.

1, 0, -48, -24, 1104, 1128, -15892, -25368, 156240, 360640, -1057908, -3600696, 4417678, 26438568, -3155508, -144207816, -112109568, 564538680, 1002957320, -1344487080, -5096138658, -111333800, 17182425012, 17552839368, -34668142443, -86942440944, 4993723500, 236551774320

Offset

1,3

Comments

Conjecture: Given the infinite set of sequences generated from the pairwise operation on A000594 (A097806^k * A000594), k = 24, (A128380) is the only sequence in the set with a zero. The sequence generated from k=23 = (1, -1, -47, 23, 1081, 47, -15939, ...). Analogous conjecture with the partial sum operator: (Cf. A128378, A128379); in which zeros are conjectured to occur only with k=23 and k=24. A128380 mod 24 = 1, 0, 0, 0, 0, 0, -4, 0, 0, 16, ...

Links

Table of n, a(n) for n=1..28.

Formula

Pairwise operation performed 24 times on A000594

Mathematica

Nest[Prepend[Most[#] + Rest[#], First[#]] &, RamanujanTau[Range[30]], 24] (* Amiram Eldar, Jan 08 2025 *)

Crossrefs

Cf. A000594, A097806, A128378, A128379.

Sequence in context: A124354 A033979 A033368 * A298451 A094658 A136455

Adjacent sequences: A128377 A128378 A128379 * A128381 A128382 A128383

Keyword

sign

Author

Gary W. Adamson, Feb 28 2007

Extensions

More terms from Amiram Eldar, Jan 08 2025

Status

approved