A192373 -id:A192373 - cp's OEIS frontend

A192374 Coefficient of x in the reduction of the polynomial p(n,x) defined at A162517 and below in Comments.

0, 2, 4, 28, 84, 406, 1448, 6200, 23688, 97034, 380716, 1533844, 6079452, 24339742, 96844496, 386805104, 1541301648, 6150529682, 24521644756, 97819530508, 390080615652, 1555871900710, 6204937972088, 24747735482792, 98698893741336

Offset: 1

Clark Kimberling, Jun 29 2011

nonn

The polynomials p(n,x) is defined by ((x+d)^n-(x-d)^n)/(2d), where d=sqrt(x+4). A192374=2*A192375. For an introduction to reductions of polynomials by substitutions such as x^2->x+1, see A192232.

			(See A192373.)

Cf. A192232, A192373, A192375.

Mathematica
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(See A192373.)
```

Empirical G.f.: 2*x^2/(9*x^4+6*x^3-10*x^2-2*x+1). [Colin Barker, Nov 23 2012]

A192375 A192374(n)/2.

Original entry on oeis.org

0, 1, 2, 14, 42, 203, 724, 3100, 11844, 48517, 190358, 766922, 3039726, 12169871, 48422248, 193402552, 770650824, 3075264841, 12260822378, 48909765254, 195040307826, 777935950355, 3102468986044, 12373867741396, 49349446870668

Offset: 1

Clark Kimberling, Jun 29 2011

nonn

See A192373 and A192374.

			(See A192373.)

Cf. A192232, A192373, A192374.

Mathematica
```
(See A192373.)
```

Typo in name corrected by Michel Marcus, May 11 2014

cp's OEIS Frontend

A192374 Coefficient of x in the reduction of the polynomial p(n,x) defined at A162517 and below in Comments.

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