A255333 - OEIS

%I #6 Feb 21 2015 15:37:41

%S 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,

%T 68,68,72,74,80,80,86,86,89,90,90,95,97,109,109,111,118,119,131,135,

%U 135,137,142,142,146,148,160,160,162,167,167,171,173,179,179,185,185,188,189,189,194

%N Partial sums of A255330.

%H Antti Karttunen, <a href="/A255333/b255333.txt">Table of n, a(n) for n = 0..8590</a>

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

%F Other identities:

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

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

%o (Scheme, with memoization-macro definec)

%o (definec (A255333 n) (if (zero? n) 1 (+ (A255333 (- n 1)) (A255330 n))))

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

%Y Analogous sequences: A218785, A230408.

%K nonn

%O 0,2

%A _Antti Karttunen_, Feb 21 2015