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Search: id:A000973
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| A000973 |
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Fermat coefficients.
(Formerly M4976 N2137)
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+0
3
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| 1, 15, 99, 429, 1430, 3978, 9690, 21318, 43263, 82225, 148005, 254475, 420732, 672452, 1043460, 1577532, 2330445, 3372291, 4790071, 6690585, 9203634, 12485550, 16723070, 22137570, 28989675, 37584261, 48275865, 61474519
(list; graph; listen)
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OFFSET
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8,2
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REFERENCES
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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.
P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
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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.
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FORMULA
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a(n)=binomial(2*n-8, 7)/8.
G.f.:(x^8)*(1+7*x+7*x^2+x^3)/(1-x)^8.
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MAPLE
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A000973:=(z+1)*(z**2+6*z+1)/(z-1)**8; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Cf. A053129.
Adjacent sequences: A000970 A000971 A000972 this_sequence A000974 A000975 A000976
Sequence in context: A044647 A108681 A108254 this_sequence A034266 A087661 A111370
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net), Oct 11 2000
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