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A255333 Partial sums of A255330. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)