A072371 a(0) = 0, a(1) = 1, a(n+1) = 2*a(n) + (2*n-1)^2*a(n-1).

1, 2, 5, 28, 181, 1734, 18129, 246072, 3555945, 62478090, 1152624285, 24859839060, 558026987805, 14266908838350, 377300685054825, 11155177913266800, 339620231957641425, 11399366438564677650, 392645165479000867125, 14749514218199731855500, 567030259977151650805125

Offset

0,2

References

A. E. Jolliffe, Continued Fractions, in Encyclopaedia Britannica, 11th ed., pp. 30-33; see p. 31.

Links

Table of n, a(n) for n=0..20.

Maple

f := proc(n) option remember; local a, b, t1, t2, t3, i, j, k; a := 1; b := 2; if n=0 then RETURN(a) elif n=1 then RETURN(b) else RETURN(2*f(n-1)+ (2*n-3)^2*f(n-2)); fi; end;

Crossrefs

Cf. A024199, A024200.

Sequence in context: A364112 A264699 A318590 * A019043 A009635 A216401

Adjacent sequences: A072368 A072369 A072370 * A072372 A072373 A072374

Keyword

nonn

Author

N. J. A. Sloane, Jul 19 2002

Status

approved