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Search: id:A137154
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| A137154 |
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a(n) = Sum_{k=0..n} C(2^k + n-k-1, n-k); equals the row sums of triangle A137153. |
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+0
3
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| 1, 2, 4, 9, 24, 79, 331, 1803, 12954, 123983, 1592513, 27604172, 648528166, 20722205191, 903019659239, 53792176322629, 4388683843024734, 491232972054490915, 75545748143323475653, 15984344095578889888206
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OFFSET
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0,2
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COMMENT
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Matrix inverse is A137156.
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FORMULA
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G.f.: Sum_{n>=0} x^n/(1-x)^(2^n). [From Paul D. Hanna (pauldhanna(AT)juno.com), Sep 15 2009]
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PROGRAM
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(PARI) a(n)=sum(k=0, n, binomial(2^k+n-k-1, n-k))
(PARI) {a(n)=local(A=sum(k=0, n, x^k/(1-x+x*O(x^n))^(2^k))); polcoeff(A, n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Sep 15 2009]
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CROSSREFS
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Cf. A137153, A137155.
Sequence in context: A131351 A091352 A135934 this_sequence A098448 A006406 A097656
Adjacent sequences: A137151 A137152 A137153 this_sequence A137155 A137156 A137157
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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), Jan 24 2008
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