A050620 Quotients arising from sequence A035014.

2, 11, 43, 209, 1042, 6771, 26823, 130599, 651237, 3255306, 21158903, 83821639, 408121757, 2035115566, 13224589033, 52388661704, 331370112102, 1691563962301, 6567827879588, 41430886596044, 211450306579272, 1059399469695886, 5298071316879193, 20530429091056784

Offset

1,1

Links

Ray Chandler, Table of n, a(n) for n = 1..1431 (terms < 10^1000, first 1000 terms from Alois P. Heinz)

Formula

a(n) = a(n-1)/2 + 5^(n-1)*(4-[a(n-1) mod 2])/2. - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jun 17 2001

a(n) = A035014(n)/2^n. - Michel Marcus, Apr 07 2017

Prog

(PARI) a(n) = if (n==1, 2, a(n-1)/2 + 5^(n-1)*(4-(a(n-1) % 2))/2);

Crossrefs

Cf. A023402, A035014.

Sequence in context: A141190 A048500 A197189 * A027253 A241712 A066058

Adjacent sequences: A050617 A050618 A050619 * A050621 A050622 A050623

Keyword

nonn,base

Author

Patrick De Geest, Jun 15 1999

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jun 17 2001

More terms from Michel Marcus, Apr 07 2017

Status

approved