A160601 Numerator of Laguerre(n, -9).
1, 10, 119, 271, 8315, 70499, 174139, 8731657, 376455481, 13762207, 23585826391, 61123934273, 5568591324683, 11428044042013, 192745690532125, 25291642192372513, 4316709625044329, 28425936917236036637
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..470
Programs
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Magma
[Numerator((&+[Binomial(n,k)*(9^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018
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Mathematica
Numerator[Table[LaguerreL[n, -9], {n, 0, 50}]] (* G. C. Greubel, May 13 2018 *) -
PARI
for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(9^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018
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PARI
a(n) = numerator(pollaguerre(n, 0, -9)); \\ Michel Marcus, Feb 05 2021