A316355 2k-1 appears 2k times after 2k-2 appears once.

0, 1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16

Offset: 0

Author

Seiichi Manyama, Jun 30 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A005563, A316354.

Essentially partial sums of A267006.

Programs

Maple

seq(op([2*k-2,(2*k-1)$(2*k)]),k=1..10); # Robert Israel, Jul 01 2018

Formula

a(k^2-1) = 2k-2.

G.f.: ((1+x)*Theta_3(0,x)-1-3*x)/(2*x-2*x^2) where Theta_3 is a Jacobi Theta function. - Robert Israel, Jul 01 2018