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A135102
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Digital sum (base the n-th prime) of Fibonacci(n).
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1
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1, 1, 2, 3, 5, 8, 13, 3, 12, 27, 29, 36, 33, 41, 58, 51, 31, 64, 89, 45, 74, 83, 39, 168, 145, 193, 170, 129, 149, 104, 211, 289, 274, 175, 257, 252, 125, 161, 318, 347, 447, 316, 317, 285, 450, 107, 253, 648, 363, 301, 498, 409, 773, 522, 429, 515, 782, 649, 641
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| a(n)=ds_prime(n)(Fib(n)), where ds_prime(n)=digital sum base the n-th prime.
a(n)=Fib(n)-(prime(n)-1)*sum{k>0, floor(Fib(n)/prime(n)^k)}.
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EXAMPLE
| a(2)=ds_prime(2)(Fib(2))=ds_3(1)=1; a(10)=ds_prime(10)(55)=ds_29(55)=1+26=27.
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CROSSREFS
| Cf. A000040, A000045, A007953, A054899, A075771, A131451, A133620, A133900, A134599.
Sequence in context: A169655 A118604 A072123 * A078414 A050416 A079345
Adjacent sequences: A135099 A135100 A135101 * A135103 A135104 A135105
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KEYWORD
| nonn,base
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AUTHOR
| Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Dec 24 2007
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