A370414 -id:A370414 - cp's OEIS frontend

A370416 a(n) = numerator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.

1, 3, 25, 21, 237, 99, 4615, 565, 51901, 399, 16065, 98325, 14038755, -182583927, -71117773, 422152885, 10925256881, -44057805309, -26772830363747, 40665147135379, 30655651211031601, -51940494584042939, -33067765545800195, 927986687975080713, 826078802370075053597

Offset: 0

Peter Luschny, Feb 18 2024

Niels Erik Nørlund, Vorlesungen über Differenzenrechnung, Springer 1924.

Cf. A370414, A370415, A370417.

Table[Numerator@NorlundB[n, 1/2, 1] , {n, 0, 24}]

A370417 a(n) = denominator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.

Original entry on oeis.org

1, 4, 48, 64, 1280, 1024, 86016, 16384, 2949120, 1310720, 11534336, 4194304, 1526726656, 2348810240, 2415919104, 1073741824, 73014444032, 17179869184, 27419071217664, 1924145348608, 3809807790243840, 241892558110720, 404620279021568, 351843720888320, 823314306878668800

Offset: 0

Peter Luschny, Feb 18 2024

Niels Erik Nørlund, Vorlesungen über Differenzenrechnung, Springer 1924.

Cf. A370414, A370415, A370416.

Table[Denominator@NorlundB[n, 1/2, 1], {n, 0, 24}]

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

Original entry on oeis.org

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

Peter Luschny, Feb 18 2024

Niels Erik Nørlund, Vorlesungen über Differenzenrechnung, Springer 1924.

Cf. A370414, A370416, A370417.

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

cp's OEIS Frontend

A370416 a(n) = numerator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.

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A370417 a(n) = denominator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.

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Author

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Programs

Mathematica

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

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Author

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Programs

Mathematica