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A080333 Partial sums of A080278. 3
1, 2, 6, 7, 8, 12, 13, 14, 27, 28, 29, 33, 34, 35, 39, 40, 41, 54, 55, 56, 60, 61, 62, 66, 67, 68, 108, 109, 110, 114, 115, 116, 120, 121, 122, 135, 136, 137, 141, 142, 143, 147, 148, 149, 162, 163, 164, 168, 169, 170, 174, 175, 176, 216, 217, 218, 222, 223, 224, 228, 229 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..61.

Klaus Brockhaus, Illustration of A080278 and A080333

FORMULA

a(n) = Sum_{k=0..log_3(n)} 3^k*floor(n/3^k).

a(3^k) = (k+1)*3^k.

a(n) is conjectured to be asymptotic to n*log(n)/log(3). - Klaus Brockhaus, Mar 23 2003

a(n)=n+3*a(floor(n/3)), a(0)=0. - Vladeta Jovovic, Aug 06 2003

CROSSREFS

Cf. A080277.

Sequence in context: A031198 A201819 A047240 * A194369 A039592 A037454

Adjacent sequences:  A080330 A080331 A080332 * A080334 A080335 A080336

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 19 2003

STATUS

approved

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Last modified October 22 19:18 EDT 2014. Contains 248400 sequences.