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Search: id:A116525
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| A116525 |
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a(0)=1, a(1)=1, a(n)=11a(n/2) for n=2,4,6,..., a(n)=10a((n-1)/2)+a((n+1)/2) for n=3,5,7,.... |
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+0
1
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| 0, 1, 11, 21, 121, 131, 231, 331, 1331, 1341, 1441, 1541, 2541, 2641, 3641, 4641, 14641, 14651, 14751, 14851, 15851, 15951, 16951, 17951, 27951, 28051, 29051, 30051, 40051, 41051, 51051, 61051, 161051, 161061, 161161, 161261, 162261
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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An 11-divide version of A084230.
The Harborth : f(2^k)=3^k suggests that a family of sequences of the form: f(2^k)=Prime[n]^k There does indeed seem to be an infinite family of such functions.
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REFERENCES
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Harborth, H. Number of Odd Binomial Coefficients. Proc. Amer. Math. Soc. 62, 19-22, 1977
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LINKS
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Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant
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MAPLE
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a:=proc(n) if n=0 then 0 elif n=1 then 1 elif n mod 2 = 0 then 11*a(n/2) else 10*a((n-1)/2)+a((n+1)/2) fi end: seq(a(n), n=0..42);
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MATHEMATICA
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b[0] := 0 b[1] := 1 b[n_?EvenQ] := b[n] = 11*b[n/2] b[n_?OddQ] := b[n] = 10*b[(n - 1)/2] + b[(n + 1)/2] a = Table[b[n], {n, 1, 25}]
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CROSSREFS
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Cf. A006046, A077465.
Sequence in context: A071157 A096104 A126299 this_sequence A094623 A034922 A015446
Adjacent sequences: A116522 A116523 A116524 this_sequence A116526 A116527 A116528
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 15 2006
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EXTENSIONS
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Edited by njas, Apr 16 2005
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