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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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3
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1, 3, 15, 220, 10626, 1712304, 927048304, 1708566412608, 10895665708319184, 244373929798154341120, 19561373281624772727757056, 5658395223117478029148167447552, 5975982733408602667847206514763365888
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OFFSET
| 0,2
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COMMENTS
| a(n) is found in row n, column 0, of matrix cube A136467^3 for n>=0.
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FORMULA
| a(n) = [x^n] Sum_{i>=0} (3/2)^i * log(1 + 2^i*x)^i/i!.
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PROG
| (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
| Cf. A136462; other rows: A136465, A014070, A101346; A136467.
Sequence in context: A126453 A007081 A126455 * A114735 A173146 A139289
Adjacent sequences: A136463 A136464 A136465 * A136467 A136468 A136469
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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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