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Search: id:A111099
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| A111099 |
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Sum of even Fermat coefficients rounded to nearest integer. |
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+0
1
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| 0, 1, 2, 4, 9, 20, 45, 105, 246, 583, 1393, 3355, 8133, 19825, 48554, 119412, 294761, 729980, 1813107, 4515225, 11271198, 28196896, 70679137, 177487714, 446446560, 1124706145, 2837445500, 7167878628, 18129622761, 45907772900, 116372614251
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OFFSET
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1,3
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REFERENCES
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P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
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FORMULA
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Following Piza's definition for the Fermat coefficients: (n:c)=binomial(2n-c, c-1)/c, a(n)= Round( sum_{0<c<=n & c even} (n:c) )
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EXAMPLE
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n sum_ {0<c<=n & c even} (n:c) a(n)
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MAPLE
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FermatCoeff:=(n, c)->binomial(2*n-c, c-1)/c:seq(round(add(FermatCoeff(n, 2*r), r=1..floor(n/2))), n=1..40);
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CROSSREFS
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Sequence in context: A052534 A080135 A167750 this_sequence A000632 A090245 A006958
Adjacent sequences: A111096 A111097 A111098 this_sequence A111100 A111101 A111102
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KEYWORD
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nonn
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AUTHOR
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Pab Ter (pabrlos2(AT)yahoo.com), Oct 13 2005
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