A255333 Partial sums of A255330.

1, 3, 3, 7, 8, 8, 15, 15, 18, 19, 19, 24, 26, 32, 32, 38, 38, 41, 42, 42, 47, 49, 61, 61, 63, 68, 68, 72, 74, 80, 80, 86, 86, 89, 90, 90, 95, 97, 109, 109, 111, 118, 119, 131, 135, 135, 137, 142, 142, 146, 148, 160, 160, 162, 167, 167, 171, 173, 179, 179, 185, 185, 188, 189, 189, 194

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..8590

Formula

a(0) = 1; for n >= 1: a(n) = a(n-1) + A255330(n).

Other identities:

a(A255061(n)-1) = A000225(n) - A255062(n) for all n >= 2.

Equally: a(A255061(n)-1) + A255062(n) + 1 = A000079(n) = 2^n for all n >= 2.

Prog

(Scheme, with memoization-macro definec)
(definec (A255333 n) (if (zero? n) 1 (+ (A255333 (- n 1)) (A255330 n))))

Crossrefs

Cf. A000079, A000225, A255061, A255062, A255330, A255332.

Analogous sequences: A218785, A230408.

Sequence in context: A121527 A021886 A178238 * A200792 A218567 A161416

Adjacent sequences: A255330 A255331 A255332 * A255334 A255335 A255336

Keyword

nonn

Author

Antti Karttunen, Feb 21 2015

Status

approved