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Search: id:A136466
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| A136466 |
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Row 2 of square array A136462: a(n) = C(3*2^(n-1), n) for n>=0. |
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+0
4
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| 1, 3, 15, 220, 10626, 1712304, 927048304, 1708566412608, 10895665708319184, 244373929798154341120, 19561373281624772727757056, 5658395223117478029148167447552, 5975982733408602667847206514763365888
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OFFSET
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0,2
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COMMENT
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a(n) is found in row n, column 0, of matrix cube A136467^3 for n>=0.
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FORMULA
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a(n) = [x^n] Sum_{i>=0} (3/2)^i * log(1 + 2^i*x)^i/i!.
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PROGRAM
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(PARI) {a(n)=binomial(3*2^(n-1), n)} (PARI) /* T(n, k) = Coefficient of x^k in series: */ {a(n)=polcoeff(sum(i=0, n, (3/2)^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: A136465, A014070, A101346; A136467.
Adjacent sequences: A136463 A136464 A136465 this_sequence A136467 A136468 A136469
Sequence in context: A126453 A007081 A126455 this_sequence A114735 A139289 A116518
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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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