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A000968
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Sum of odd Fermat coefficients rounded to nearest integer.
(Formerly M1176 N0452)
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0
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1, 1, 2, 4, 9, 20, 46, 105, 246, 583, 1393, 3355, 8133, 19825, 48554, 119412, 294761, 729980, 1813107, 4515225, 11271198, 28196896, 70679137, 177487714, 446446560, 1124706145, 2837445500, 7167878628, 18129622761, 45907772900, 116372614251
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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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<=n & c odd} (n:c) ) - Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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EXAMPLE
| n sum_{c<=n.&.c.odd} (n:c).....a(n)
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.1........1......................1
.2........1......................1
.3........2......................2
.4........4+1/3..................4
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MAPLE
| FermatCoeff:=(n, c)->binomial(2*n-c, c-1)/c:seq(round(add(FermatCoeff(n, 2*r+1), r=0..floor(n/2))), n=1..40); (Pab Ter)
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CROSSREFS
| Sequence in context: A057417 A191653 A191827 * A005908 A206119 A085748
Adjacent sequences: A000965 A000966 A000967 * A000969 A000970 A000971
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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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