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A133546
Binomial transform of [1,3,5,6,7,8,9,10,11,...] (i.e., positive integers except 2 and 4).
2
1, 4, 12, 31, 74, 169, 376, 823, 1782, 3829, 8180, 17395, 36850, 77809, 163824, 344047, 720878, 1507309, 3145708, 6553579, 13631466, 28311529, 58720232, 121634791, 251658214, 520093669, 1073741796, 2214592483, 4563402722
OFFSET
1,2
COMMENTS
Row sums of triangle A133545.
FORMULA
G.f.: x*((1-2*x+x^2-x^3)/((x-1)^2*(2*x-1)^2)).
EXAMPLE
a(3) = 12 = sum of row 3 terms of triangle A133545: (6+5+1).
a(4) = 31 = (1,3,3,1) dot (1,3,5,6) = (1+9+15+6).
CROSSREFS
Cf. A133545.
Sequence in context: A129707 A320545 A232580 * A190376 A276785 A171844
KEYWORD
nonn,easy
AUTHOR
Gary W. Adamson, Sep 15 2007
EXTENSIONS
Extended, edited and formula added by Olivier Gérard, Oct 12 2007
STATUS
approved