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A192144 1-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1. 1

%I #7 Mar 30 2012 18:57:33

%S 0,6,21,77,212,542,1270,2830,6043,12503,25208,49772,96572,184646,

%T 348641,651201,1204908,2211018,4027570,7288750,13113415,23468331,

%U 41799216,74124312,130925112,230408262,404121645,706605365,1231946948,2142132278

%N 1-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1.

%C See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".

%F Empirical G.f.: x^2*(6-3*x+11*x^2-3*x^3)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 11 2012]

%t (See A192143.)

%Y Cf. A192232, A192143.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jun 27 2011

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)