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

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

%S 0,5,17,61,166,421,981,2177,4634,9564,19244,37934,73502,140373,264783,

%T 494143,913618,1675387,3050075,5516865,9920880,17747270,31597272,

%U 56013036,98903436,174003461,305107901,533345617,929655934,1616151649

%N 1-sequence of reduction of pentagonal 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*(5-3*x+8*x^2-2*x^3)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 11 2012]

%t (See A192145.)

%Y Cf. A192232, A192145.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jun 27 2011