A160609 Numerator of Laguerre(n, -5).
1, 6, 47, 223, 1643, 6187, 173339, 148591, 44999149, 409402223, 1067091709, 33428532191, 1484643512329, 5818648016477, 866275665579983, 2261064256234247, 4585711907324687, 1773637758861597199
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..464
Programs
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Magma
[Numerator((&+[Binomial(n,k)*(5^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 09 2018
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Mathematica
Numerator[Table[LaguerreL[n, -5], {n, 0, 50}]] (* G. C. Greubel, May 09 2018 *) -
PARI
for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(5^k/k!))), ", ")) \\ G. C. Greubel, May 09 2018
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PARI
a(n) = numerator(pollaguerre(n, 0, -5)); \\ Michel Marcus, Feb 05 2021