A343857 Partial sums of A343856.

0, 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 21, 23, 27, 29, 31, 32, 33, 35, 37, 39, 43, 45, 47, 55, 57, 59, 63, 64, 65, 67, 69, 71, 75, 77, 79, 87, 89, 91, 95, 103, 111, 115, 117, 119, 127, 128, 129, 131, 133, 135, 139, 141, 143, 151, 153, 155, 159, 167

Offset

0,3

Comments

The scatterplot of the sequence is similar at different scales.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10776

Rémy Sigrist, PARI program for A343857

Formula

Sum_{k = 1..Sum_{m = 1..n} A061419(m)} a(k) = 2^n-1.

Example

a(3) = A343856(1) + A343856(2) + A343856(3) = 1 + 1 + 1 = 3.

Prog

(PARI) See Links section.
(Python) # auptorow in A343856
from itertools import accumulate
print([0]+list(accumulate(auptorow(8)))) # Michael S. Branicky, May 04 2021

Crossrefs

Cf. A061419, A343856.

Sequence in context: A088948 A369096 A115405 * A257144 A328674 A316476

Adjacent sequences: A343854 A343855 A343856 * A343858 A343859 A343860

Keyword

nonn

Author

Rémy Sigrist, May 01 2021

Status

approved