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Search: id:A001947
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| A001947 |
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Related to Bernoulli numbers.
(Formerly M3120 N1265)
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+0
1
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| 3, 29, 322, 3571, 39603, 439204, 4870847, 54018521, 599074578, 6643838879, 73681302247, 817138163596, 9062201101803, 100501350283429
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
J. Riordan, Combinatorial Identities, Wiley, 1968, p. 141.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Tanya Khovanova, Recursive Sequences
Index entries for sequences related to Bernoulli numbers.
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FORMULA
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G.f.: (3 - 4x) / (1 - 11x + x^2 ).
a(n) = Lucas(5n+2) - Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 26 2003
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MAPLE
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A001947:=(-3+4*z)/(-1+11*z+z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A002669 A112711 A155651 this_sequence A049038 A091646 A081506
Adjacent sequences: A001944 A001945 A001946 this_sequence A001948 A001949 A001950
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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