A174574 Partial sums of A065363.

0, 1, 1, 2, 4, 3, 3, 4, 4, 5, 7, 8, 10, 13, 11, 10, 10, 9, 9, 10, 10, 11, 13, 12, 12, 13, 13, 14, 16, 17, 19, 22, 22, 23, 25, 26, 28, 31, 33, 36, 40, 37, 35, 34, 32, 31, 31, 30, 30, 31, 29, 28, 28, 27, 27, 28, 28, 29, 31, 30, 30, 31, 31, 32, 34, 35, 37, 40, 38, 37, 37, 36, 36, 37

Offset

0,4

Links

Daniel Forgues, Table of n, a(n) for n = 0..100000

Formula

a(0) = 0, a(n) = a(n-1) + A065363(n), n >= 1.

a(n) <= n with equality iff n belongs to A003462. - Rémy Sigrist, Oct 05 2019

Prog

(Python)
def a065363(n):
    s=0
    x=0
    while n>0:
        x=n%3
        n//=3
        if x==2:
            x=-1
            n+=1
        s+=x
    return s
l=[0]
for n in range(1, 101): l.append(l[n - 1] + a065363(n))
print(l) # Indranil Ghosh, Jun 07 2017

Crossrefs

Cf. A003462, A065363, A140267.

Sequence in context: A352962 A137363 A110549 * A161413 A201049 A303354

Adjacent sequences: A174571 A174572 A174573 * A174575 A174576 A174577

Keyword

nonn,base

Author

Daniel Forgues, Mar 23 2010

Status

approved