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A000967
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Sum of Fermat coefficients.
(Formerly M1148 N0437)
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0
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1, 2, 4, 8, 18, 40, 91, 210, 492, 1165, 2786, 6710, 16267, 39650, 97108, 238824, 589521, 1459960, 3626213, 9030450, 22542396, 56393792, 141358274, 354975429, 892893120, 2249412290, 5674891000, 14335757256, 36259245522, 91815545800
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
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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FORMULA
| Following Piza's definition for the Fermat coefficients: (n:c)=binomial(2n-c, c-1)/c, a(n)= Round( sum_ {c=1..n} (n:c) ) - Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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EXAMPLE
| n...sum_{c=1..n} (n:c).....a(n)
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.1........1.................1
.2........2.................2
.3........4.................4
.4........8+1/3.............8
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MAPLE
| FermatCoeff:=(n, c)->binomial(2*n-c, c-1)/c:seq(round(add(FermatCoeff(n, c), c=1..n)), n=1..40); (Pab Ter)
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CROSSREFS
| Sequence in context: A056362 A086585 A052910 * A096813 A058387 A019231
Adjacent sequences: A000964 A000965 A000966 * A000968 A000969 A000970
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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