A305151 a(n) = (2n+1) - A294673(n), the amount by which A294673 is less than the maximum possible for n.

0, 0, 0, 3, 0, 0, 4, 10, 5, 7, 14, 0, 17, 7, 0, 25, 0, 0, 17, 0, 0, 15, 33, 11, 34, 0, 0, 19, 13, 35, 41, 56, 0, 31, 0, 11, 31, 60, 57, 27, 0, 0, 76, 27, 0, 31, 53, 0, 85, 0, 17, 37, 0, 79, 91, 74, 0, 85, 25, 0, 40, 87, 100, 119, 93, 0, 111, 0, 117, 109, 94, 83, 97, 31, 17, 51, 102, 0

Offset: 0

Author

P. Michael Hutchins, May 26 2018

Keywords

• nonn

Comments

Motivation: A294673(n), which is always <= 2n+1, equals n in most cases. This sequence abstracts out that commonality to leave a cleaner signal.

Crossrefs

Cf. A294673.

Programs

PARI

a(n) = (2*n+1) - znorder(Mod(if(n%2, 2, -2), 4*n+3)); \\ Michel Marcus, May 26 2018