A370415 T(n, k) = denominator([x^n] N(1/2, n, x)) where N(a, n, x) is the n-th Nørlund polynomial.

1, 4, 1, 48, 2, 1, 64, 16, 4, 1, 1280, 16, 8, 1, 1, 3072, 256, 32, 24, 4, 1, 86016, 512, 256, 16, 16, 2, 1, 49152, 12288, 1024, 256, 64, 16, 4, 1, 2949120, 6144, 3072, 384, 128, 8, 12, 1, 1, 1310720, 327680, 4096, 1024, 512, 640, 16, 4, 4, 1, 11534336, 131072, 65536, 2048, 2048, 256, 128, 8, 16, 2, 1

Offset

0,2

Links

Table of n, a(n) for n=0..65.

Niels Erik Nørlund, Vorlesungen über Differenzenrechnung, Springer 1924.

Mathematica

Table[Denominator@CoefficientList[NorlundB[n, 1/2, x], x] , {n, 0, 10}] // Flatten

Crossrefs

Cf. A370414, A370416, A370417.

Sequence in context: A365088 A372013 A316159 * A113112 A278578 A368266

Adjacent sequences: A370412 A370413 A370414 * A370416 A370417 A370418

Keyword

nonn,tabl,frac

Author

Peter Luschny, Feb 18 2024

Status

approved