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

Author

Peter Luschny, Feb 18 2024

Keywords

• nonn
• tabl
• frac

Links

• Niels Erik Nørlund, Vorlesungen über Differenzenrechnung, Springer 1924.

Crossrefs

Cf. A370414, A370416, A370417.

Programs

Mathematica

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