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Search: id:A109777
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| A109777 |
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G.f. = f(x), where f(x)^2 = o.g.f. for A088313 (with offset 0). |
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2
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| 1, 1, 3, 15, 101, 829, 7891, 84735, 1009065, 13170841, 186798003, 2859068831, 46960097413, 823787983021, 15370572776091, 303929827526887, 6348320745774993, 139663855708967665, 3227812335094695171, 78180132507785056399, 1980181972528939129861, 52344600987011191983613
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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EXAMPLE
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The present sequence has g.f. f(x) = 1 + x + 3*x^2 + 15*x^3 + ...
A088313 [1,2,7,36,242,...] has e.g.f. = sinh(x/(1-x) = x + x^2 + 7/6*x^3 + 3/2*x^4 + 241/120*x^5 + 65/24*x^6 + 18271/5040*x^7 + ... and (with offset 0) o.g.f. = 1 + 2*x^2 +7*x^3 + 36*x^4 + ... = f(x)^2.
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CROSSREFS
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Adjacent sequences: A109774 A109775 A109776 this_sequence A109778 A109779 A109780
Sequence in context: A135883 A074521 A074536 this_sequence A135903 A123184 A079486
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KEYWORD
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nonn
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AUTHOR
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njas and Nadia Heninger (nadiah(AT)cs.princeton.edu), Aug 15 2005
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