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A052133 CONTINUANT transform of 0, 1, 1, 2, 1, 3, 2, 3, ... (A002487). 1
0, 1, 1, 3, 4, 15, 34, 117, 151, 721, 2314, 12291, 26896, 146771, 467209, 2015607, 2482816, 14429687, 60201564, 435840635, 1367723469, 11377628387, 58255865404, 419168686215, 896593237834, 6695321351053, 34373199993099, 281680921295845, 879415963880634 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..400

N. J. A. Sloane, Transforms

MAPLE

b:= proc(n) option remember; `if`(n<2, n,

      `if`(irem(n, 2, 'r')=0, b(r), b(r) + b(r+1)))

    end:

a:= proc(n) option remember; `if`(n<-1, 0,

      `if`(n<0, 1, b(n)*a(n-1)+a(n-2)))

    end:

seq(a(n), n=0..35);  # Alois P. Heinz, Aug 06 2013

MATHEMATICA

b[n_] := b[n] = If[n < 2, n, {q, r} = QuotientRemainder[n, 2]; If[r == 0, b[q], b[q] + b[q+1]]]; a[n_] := a[n] = If[n < -1, 0, If[n < 0, 1, b[n]*a[n-1] + a[n-2]]]; Table[a[n], {n, 0, 35}] (* Jean-Fran├žois Alcover, Nov 25 2014, after Alois P. Heinz *)

CROSSREFS

Cf. A071898.

Sequence in context: A205485 A055486 A041665 * A209479 A209338 A127144

Adjacent sequences:  A052130 A052131 A052132 * A052134 A052135 A052136

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 18 2002

STATUS

approved

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Last modified August 19 01:29 EDT 2017. Contains 290787 sequences.