A187894 Numerators of expansion of sqrt(F-1) where F is the g.f. for A000957.

0, 1, 1, 5, 13, 151, 463, 2957, 9725, 261739, 896507, 6231571, 21920539, 311583955, 1116869179, 8066939069, 29323723037, 1715310801971, 6303146700755, 46534580965463, 172479371522639, 2566609537700489, 9580228898547889, 71737644622567835, 269340391562396747, 8110742483462690623, 30602551916179033519

Offset

0,4

Comments

The denominators are powers of 2.

References

L. W. Shapiro and C. J. Wang, Generating identities via 2 X 2 matrices, Congressus Numerantium, 205 (2010), 33-46.

Links

Table of n, a(n) for n=0..26.

Example

0, 1, 1, 5/2, 13/2, 151/8, 463/8, 2957/16, 9725/16, 261739/128, 896507/128,  ...

Crossrefs

Cf. A000957.

Sequence in context: A099974 A247820 A336097 * A214591 A159261 A117077

Adjacent sequences: A187891 A187892 A187893 * A187895 A187896 A187897

Keyword

nonn,frac

Author

N. J. A. Sloane, Mar 15 2011

Status

approved