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A230088
Partial sums of A010062.
2
1, 3, 6, 11, 18, 28, 40, 54, 71, 90, 112, 137, 165, 196, 232, 270, 311, 355, 402, 454, 509, 569, 633, 698, 765, 835, 908, 984, 1063, 1147, 1234, 1326, 1422, 1520, 1621, 1726, 1835, 1949, 2067, 2190, 2319, 2450, 2584, 2721, 2861, 3004, 3152, 3303, 3459, 3619
OFFSET
0,2
LINKS
Kenneth B. Stolarsky, The sum of a digitaddition series, Proc. Amer. Math. Soc. 59 (1976), no. 1, 1--5. MR0409340 (53 #13099).
FORMULA
a(n) ~ (n^2/4)*log_2(n). [Stolarsky]
MAPLE
f:= proc(n) option remember;
procname(n-1)+convert(convert(procname(n-1), base, 2), `+`)
end proc:
f(0):= 1:
g:= proc(n) option remember;
procname(n-1)+f(n)
end proc:
g(0):= 1:
map(g, [$0..100]); # Robert Israel, Jul 07 2020
PROG
(PARI) lista(nn) = {a = 1; sa = 0; for (n=2, nn, sa += a; print1(sa, ", "); a += hammingweight(a); ); } \\ Michel Marcus, Apr 04 2015
CROSSREFS
Cf. A010062.
Sequence in context: A172046 A014125 A147456 * A011849 A350104 A173690
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Oct 08 2013
EXTENSIONS
More terms from Michel Marcus, Apr 04 2015
STATUS
approved