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A036245 Numerator of fraction equal to the continued fraction [ 0, 1, 4, ..., n^2 ]. 8
1, 4, 37, 596, 14937, 538328, 26393009, 1689690904, 136891356233, 13690825314204, 1656726754374917, 238582343455302252, 40322072770700455505, 7903364845400744581232, 1778297412287938231232705, 455252040910557587940153712, 131569618120563430852935655473 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..253

FORMULA

a(n) = n^2 * a(n-1) + a(n-2) for n > 2. - Seiichi Manyama, Jun 05 2018

Lim_{n->oo} a(n)/A036246(n) = A073824. - Jianing Song, Nov 30 2019

PROG

(PARI) A036245(n) = my(v=vector(n+1)); for(i=1, n+1, if(i==1, v[i]=0, if(i==2, v[i]=1, v[i]=(i-1)^2*v[i-1]+v[i-2]))); v[n+1] \\ Jianing Song, Nov 30 2019

CROSSREFS

Cf. A036246, A073824.

Sequence in context: A001518 A185082 A259822 * A133471 A249607 A097998

Adjacent sequences:  A036242 A036243 A036244 * A036246 A036247 A036248

KEYWORD

frac,nonn

AUTHOR

Jeff Burch

EXTENSIONS

More terms from Seiichi Manyama, Jun 05 2018

STATUS

approved

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Last modified July 13 17:54 EDT 2020. Contains 335689 sequences. (Running on oeis4.)