id:A022290 - OEIS Search Results

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Replace 2^k in binary expansion of n by k-th Fibonacci number.

+0
5

0, 1, 2, 3, 3, 4, 5, 6, 5, 6, 7, 8, 8, 9, 10, 11, 8, 9, 10, 11, 11, 12, 13, 14, 13, 14, 15, 16, 16, 17, 18, 19, 13, 14, 15, 16, 16, 17, 18, 19, 18, 19, 20, 21, 21, 22, 23, 24, 21, 22, 23, 24, 24, 25, 26, 27, 26, 27, 28, 29, 29, 30, 31, 32, 21, 22, 23, 24, 24, 25, 26 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: 1/(1-x) * sum[k>=0, F(k+2)*x^2^k/(1+x^2^k)], F(n)=A000045(n).`
	CROSSREFS	`Other sequences that are built by replacing 2^k in the binary representation with other numbers: A029931 (naturals), A059590 (factorials), A089625 (primes).` `Sequence in context: A156562 A007998 A029931 this_sequence A103827 A094182 A075699` `Adjacent sequences: A022287 A022288 A022289 this_sequence A022291 A022292 A022293`
	KEYWORD	`nonn`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com)`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

AT&T Labs Research