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

0,4

Links

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

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

Maple

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

Crossrefs

Cf. A005563, A316354.

Essentially partial sums of A267006.

Sequence in context: A029120 A078428 A337634 * A055768 A349909 A064952

Adjacent sequences: A316352 A316353 A316354 * A316356 A316357 A316358

Keyword

nonn

Author

Seiichi Manyama, Jun 30 2018

Status

approved