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A116529 New alternating chaotic sequence: anti-Harborth form, 2nd type. 0
1, 1, 2, 1, 3, 2, 5, 1, 4, 3, 7, 2, 7, 5, 12, 1, 7, 4, 9, 3, 10, 7, 17, 2, 11, 7, 16, 5, 17, 12, 29, 1, 14, 7, 15, 4, 15, 9, 22, 3, 15, 10, 23, 7, 24, 17, 41, 2, 21, 11, 24, 7, 25, 16, 39, 5, 26, 17, 39, 12, 41, 29, 70, 1, 31, 14, 29, 7, 28, 15 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

Harborth, H. Number of Odd Binomial Coefficients. Proc. Amer. Math. Soc. 62, 19-22, 1977

LINKS

Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant

FORMULA

a(n) = If[Mod[n,2]=0, a(n/2],2*a((n-1)/2)+a((n-3)/2)]

MATHEMATICA

b[0] := 0 b[1] := 1 b[n_?EvenQ] := b[n] = b[n/2] b[n_?OddQ] := b[n] = 2*b[(n - 1)/2] + b[(n - 3)/2] a = Table[b[n], {n, 1, 70}]

CROSSREFS

Sequence in context: A117364 A193615 A120250 * A169747 A064989 A030067

Adjacent sequences:  A116526 A116527 A116528 * A116530 A116531 A116532

KEYWORD

nonn,uned,obsc

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 15 2006

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Last modified February 17 13:02 EST 2012. Contains 206021 sequences.