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Search: id:A054204
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| A054204 |
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Integers expressible as sums of distinct even-subscripted Fibonacci numbers. |
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+0
3
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| 1, 3, 4, 8, 9, 11, 12, 21, 22, 24, 25, 29, 30, 32, 33, 55, 56, 58, 59, 63, 64, 66, 67, 76, 77, 79, 80, 84, 85, 87, 88, 144, 145, 147, 148, 152, 153, 155, 156, 165, 166, 168, 169, 173, 174, 176, 177, 199, 200, 202, 203, 207, 208, 210, 211, 220, 221, 223, 224, 228, 229
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number of partitions of a(n) into sums of distinct Fibonacci numbers is (n+1)st term of Stern's Diatomic series A002487. This sequence has A046815 as a subsequence.
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REFERENCES
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Marjorie Bicknell-Johnson, The least integer having p Fibonacci representations (p prime), Fibonacci Quarterly 40 (2002), pp. 260-265.
M. Bicknell-Johnson, Stern's Diatomic Array Applied to Fibonacci Representations," Fibonacci Quarterly 41 (2003), pp. 169-180.
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LINKS
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Index entries for sequences related to Stern's sequences
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FORMULA
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Subscripts in Zeckendorf representation of a(n) are 2(e+1) where e is exponent used to write n as sum of powers of 2
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EXAMPLE
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a(9)=22 since 9=2^3+2^0 and 22=F(2(3+1)) + F(2(0+1)) = F(8) + F(2)
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CROSSREFS
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A002487, A046815.
Sequence in context: A047460 A068056 A006520 this_sequence A050003 A073258 A002156
Adjacent sequences: A054201 A054202 A054203 this_sequence A054205 A054206 A054207
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KEYWORD
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nonn
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AUTHOR
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Marjorie Bicknell-Johnson (marjohnson(AT)earthlink.net), Apr 30 2000
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