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A192146 1-sequence of reduction of pentagonal numbers sequence by x^2 -> x+1. 1
0, 5, 17, 61, 166, 421, 981, 2177, 4634, 9564, 19244, 37934, 73502, 140373, 264783, 494143, 913618, 1675387, 3050075, 5516865, 9920880, 17747270, 31597272, 56013036, 98903436, 174003461, 305107901, 533345617, 929655934, 1616151649 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..30.

FORMULA

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]

MATHEMATICA

(See A192145.)

CROSSREFS

Cf. A192232, A192145.

Sequence in context: A026619 A142956 A273422 * A273607 A007483 A273503

Adjacent sequences:  A192143 A192144 A192145 * A192147 A192148 A192149

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 27 2011

STATUS

approved

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Last modified April 4 21:43 EDT 2020. Contains 333238 sequences. (Running on oeis4.)