A059237 Variation of Boustrophedon transform described in A059219 applied to sequence 0,1,0,0,0,....

0, 1, 2, 5, 16, 59, 258, 1296, 7362, 46609, 325147, 2477212, 20460278, 182076531, 1736623109, 17672266151, 191111489038, 2188592796698, 26458831601847, 336735773968857, 4500142285227330, 63007188219787855, 922312862937555109

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Index entries for sequences related to boustrophedon transform

Maple

aaa := proc(m, n) option remember; local i, j, r, s, t1; if m=0 and n=0 then RETURN(0); fi; if m=1 and n=0 then RETURN(1); fi; if n = 0 and m mod 2 = 1 then RETURN(0); fi; if m = 0 and n mod 2 = 0 then RETURN(0); fi; s := m+n; if s mod 2 = 1 then t1 := aaa(m+1, n-1); for j from 0 to n-1 do t1 := t1+aaa(m, j); od: else t1 := aaa(m-1, n+1); for j from 0 to m-1 do t1 := t1+aaa(j, n); od: fi; RETURN(t1); end; # the n-th antidiagonal in the up direction is aaa(n, 0), aaa(n-1, 1), aaa(n-2, 2), ..., aaa(0, n)

Crossrefs

Cf. A000667, A059216, A059217, A059220, A059219.

Sequence in context: A007747 A208988 A107283 * A369483 A104547 A186999

Adjacent sequences: A059234 A059235 A059236 * A059238 A059239 A059240

Keyword

nonn

Author

N. J. A. Sloane, Jan 20 2001

Status

approved