A238434 Expansion of G(1) where G(k) = 1 + q^k / ( 1 - q^k * G(k+2) ).

1, 1, 1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 42, 62, 91, 135, 200, 296, 438, 648, 960, 1421, 2103, 3114, 4611, 6827, 10107, 14964, 22157, 32806, 48572, 71917, 106483, 157661, 233436, 345632, 511755, 757720, 1121901, 1661122, 2459512, 3641632, 5391915, 7983443, 11820547, 17501885, 25913856, 38368900, 56810249

Offset

0,6

Comments

What does this sequence count?

Links

Table of n, a(n) for n=0..49.

Prog

(PARI)
N = 66;  q = 'q + O('q^N);
G(k) = if(k>N, 1, 1 + q^k / ( 1 - q^k * G(k+2) ) );
Vec( G(1) )

Crossrefs

Cf. A186085: G(1) where G(k) = 1 + q^k/( 1 - q^k * G(k+1) ).

Sequence in context: A101913 A352042 A121653 * A061418 A355909 A136423

Adjacent sequences: A238431 A238432 A238433 * A238435 A238436 A238437

Keyword

nonn

Author

Joerg Arndt, Feb 27 2014

Status

approved