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Search: id:A035509
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| A035509 |
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Main diagonal of Inverse Stolarsky array. |
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+0
1
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| 1, 7, 25, 101, 321, 1075, 3426, 9958, 30253, 92735, 253731, 739303, 2056915, 5899304, 17108660, 46137324, 130016549, 370248450, 993480845, 2766546762, 7510827752, 20798505510, 58123818148, 155141346542, 426530329383
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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C. Kimberling, "Interspersions and dispersions," Proceedings of the American Mathematical Society 117 (1993) 313-321.
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LINKS
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C. Kimberling, Interspersions
N. J. A. Sloane, Classic Sequences
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MAPLE
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with(combinat, fibonacci): gold:=(1+sqrt(5))/2: c1:=n->piecewise(n<>1, round((n-1)*gold), 1): c2:=n->c1(n)+floor((2*c1(n)+1)*gold/2)+1: inv_stol:=(n, k)->fibonacci(2*k-3)-1-c1(n)*fibonacci(2*k-4)+c2(n)*fibonacci(2*k-2): seq(inv_stol(n, n), n=1..30); inv_stol2:=(n, k)->(1+c1(n))*fibonacci(2*k-3)+(1+floor((2*c1(n)+1)*gold/2))*fibonacci(2*k-2)-1: seq(inv_stol2(n, n), n=1..30); inv_stol3:=proc(n, k) options remember: if k=1 then RETURN(c1(n)) elif k=2 then RETURN(c2(n)) else RETURN(3*inv_stol3(n, k-1)-inv_stol3(n, k-2)+1) fi: end: : seq(inv_stol3(n, n), n=1..30); (Ronaldo)
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CROSSREFS
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Cf. A035507.
Sequence in context: A146933 A155258 A138729 this_sequence A141627 A102900 A155271
Adjacent sequences: A035506 A035507 A035508 this_sequence A035510 A035511 A035512
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 01 2005
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