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Search: id:A108992
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| A108992 |
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Second diagonal of triangle A108990, in which the g.f. of row n, R_n(x), satisfies: [x^k] R_{n+1}(x) = [x^k] (1 + x*R_n(x))^(n+1) for k=0..n+1. |
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+0
7
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| 1, 2, 9, 76, 1025, 19656, 495964, 15629720, 593136513, 26392662280, 1349451117586, 78039195326676, 5040212158570043, 359802563875687310, 28145720807393650140, 2395126209579348837776, 220346109158340083116065
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = A108990(n+1, n) for n>=0. a(n) = (n+1)*A108993(n).
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PROGRAM
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(PARI) {a(n)=local(F=1+x*O(x^n)); for(m=1, n+1, F=(1+x*F)^m); polcoeff(F, n)}
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CROSSREFS
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Cf. A108990, A108991, A108993, A108994, A108995, A108996.
Sequence in context: A105785 A123680 A132621 this_sequence A058164 A006059 A006041
Adjacent sequences: A108989 A108990 A108991 this_sequence A108993 A108994 A108995
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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), Jun 15 2005
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