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Search: id:A136465
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| A136465 |
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Row 0 of square array A136462: a(n) = C(2^(n-1), n) for n>=0. |
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+0
5
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| 1, 1, 1, 4, 70, 4368, 906192, 621216192, 1429702652400, 11288510714272000, 312268282598377321216, 30813235422145714150738944, 11005261717918037175659349191168
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OFFSET
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0,4
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COMMENT
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a(n) is found in row n, column 0, of triangle A136467 for n>=0.
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FORMULA
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a(n) = [x^n] Sum_{i>=0} (1/2)^i * log(1 + 2^i*x)^i/i!.
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PROGRAM
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(PARI) {a(n)=binomial(2^(n-1), n)} (PARI) /* a(n) = Coefficient of x^k in series: */ {a(n)=polcoeff(sum(i=0, n, (1/2)^i*log(1+2^i*x +x*O(x^n))^i/i!), n)}
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CROSSREFS
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Cf. A136462; other rows: A014070, A136466, A101346; A136467.
Adjacent sequences: A136462 A136463 A136464 this_sequence A136466 A136467 A136468
Sequence in context: A065573 A101841 A061609 this_sequence A047939 A088693 A133003
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 31 2007
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