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A136463
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Diagonal of square array A136462: a(n) = C((n+1)*2^(n-1), n) for n>=0.
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3
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1, 2, 15, 560, 91390, 61124064, 163995687856, 1756185841659392, 75079359427627897200, 12831653340946454374300160, 8777916355714456994772455584000, 24054320541767107204031746600673906688
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OFFSET
| 0,2
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COMMENTS
| a(n) is divisible by (n+1) for n>=0: a(n)/(n+1) = A136464(n).
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FORMULA
| a(n) = [x^n] Sum_{i>=0} ((n+1)/2)^i * log(1 + 2^i*x)^i/i!. a(n) is found in row n, column 0, of matrix power A136467^(n+1) for n>=0.
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MATHEMATICA
| Table[Binomial[(n+1)2^(n-1), n], {n, 0, 15}] (* From Harvey P. Dale, Apr 20 2011 *)
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PROG
| (PARI) {a(n)=binomial((n+1)*2^(n-1), n)} (PARI) /* a(n) = Coefficient of x^n in series: */ {a(n)=polcoeff(sum(i=0, n, ((n+1)/2)^i*log(1+2^i*x +x*O(x^n))^i/i!), n)}
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CROSSREFS
| Cf. A136462; A136464; rows: A136465, A014070, A136466, A101346; A136467.
Sequence in context: A013098 A158109 A177394 * A078475 A015185 A203467
Adjacent sequences: A136460 A136461 A136462 * A136464 A136465 A136466
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 31 2007
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