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A071896
CONTINUANT transform of triangular numbers 1, 3, 6, 10, ...
3
1, 4, 25, 254, 3835, 80789, 2265927, 81654161, 3676703172, 202300328621, 13355498392158, 1041931174916945, 94829092415834153, 9958096634837503010, 1195066425272916195353, 162538991933751440071018, 24869660832289243247061107
OFFSET
1,2
COMMENTS
Equals the eigensequence of an infinite lower triangular matrix with (1, 3, 6, ...) in the main diagonal and (1, 1, 1, ...) in the subdiagonal; with the rest zeros. - Gary W. Adamson, Apr 13 2009
LINKS
N. J. A. Sloane, Transforms
MAPLE
a:= proc(n) option remember; `if`(n<0, 0,
`if`(n=0, 1, n*(n+1)/2 *a(n-1) +a(n-2)))
end:
seq(a(n), n=1..20); # Alois P. Heinz, Aug 06 2013
CROSSREFS
Sequence in context: A220192 A220356 A210809 * A065740 A376160 A308008
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 10 2002
STATUS
approved