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Search: id:A000969
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| A000969 |
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G.f.: (1+x+2*x^2)/((1-x)^2*(1-x^3)).
(Formerly M2630 N1042)
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+0
5
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| 1, 3, 7, 12, 18, 26, 35, 45, 57, 70, 84, 100, 117, 135, 155, 176, 198, 222, 247, 273, 301, 330, 360, 392, 425, 459, 495, 532, 570, 610, 651, 693, 737, 782, 828, 876, 925, 975, 1027, 1080, 1134, 1190, 1247, 1305, 1365, 1426, 1488, 1552, 1617, 1683, 1751, 1820, 1890
(list; graph; listen)
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OFFSET
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0,2
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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).
P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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.
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MAPLE
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A000969:=-(1+z+2*z**2)/(z**2+z+1)/(z-1)**3; [S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Cf. A004773 (first differences), A092498 (partial sums). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
Sequence in context: A066379 A024517 A005228 this_sequence A122250 A024388 A109638
Adjacent sequences: A000966 A000967 A000968 this_sequence A000970 A000971 A000972
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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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