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A001947
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Lucas(5*n+2), related to Bernoulli numbers.
(Formerly M3120 N1265)
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1
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3, 29, 322, 3571, 39603, 439204, 4870847, 54018521, 599074578, 6643838879, 73681302247, 817138163596, 9062201101803, 100501350283429, 1114577054219522, 12360848946698171, 137083915467899403, 1520283919093591604, 16860207025497407047, 186982561199565069121, 2073668380220713167378
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J. Riordan, Combinatorial Identities, Wiley, 1968, p. 141.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Tanya Khovanova, Recursive Sequences
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.
Index entries for sequences related to Bernoulli numbers.
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FORMULA
| 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
| A001947:=(-3+4*z)/(-1+11*z+z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| LucasL[5*Range[0, 20]+2] (* From Harvey P. Dale, Jan 18 2012 *)
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PROG
| (MAGMA) [ Lucas(5*n +2): n in [0..120]]; // Vincenzo Librandi, Apr 16 2011
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CROSSREFS
| Sequence in context: A002669 A112711 A155651 * A049038 A091646 A081506
Adjacent sequences: A001944 A001945 A001946 * A001948 A001949 A001950
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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