A282711 a(n) = number of terms of A003052 that are <= n.

1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12

Offset

1,3

Links

Table of n, a(n) for n=1..92.

U. Zannier, On the distribution of self-numbers, Proc. Amer. Math. Soc. 85 (1982), 10-14.

Formula

Zannier shows that a(n) = L*n + O(*log x)^2), where L is approximately 10.227...

Maple

# Assumes the array b52 contains a list of the terms in A003052.
p:=[]; t:=1; m:=b52[t]; c:=1;
for n from 1 to 1000 do
if n=m then c:=c+1; t:=t+1; m:=b52[t]; fi;
p:=[op(p), c];
od:
p;

Crossrefs

Cf. A003052.

Sequence in context: A290323 A260254 A337853 * A035100 A303594 A085089

Adjacent sequences: A282708 A282709 A282710 * A282712 A282713 A282714

Keyword

nonn

Author

N. J. A. Sloane, Feb 27 2017

Status

approved