A257144 Numbers n not of the form x+y*x^2 for x>1 and y>0.

1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 37, 40, 41, 43, 44, 45, 47, 49, 51, 53, 59, 60, 61, 63, 64, 65, 67, 69, 71, 73, 76, 77, 79, 81, 83, 85, 87, 88, 89, 91, 92, 95, 96, 97, 99, 101, 103, 104, 107, 108, 109, 112, 113, 115, 117, 119, 121

Offset

1,2

Comments

Number n such that (d*k+1) /= (n/d), for k>0 and each value of d, where d is a divisor >1 of n.

Links

Table of n, a(n) for n=1..71.

Mathematica

n = 71; Take[Complement[Range[n^2], DeleteDuplicates@ Sort@ Flatten@ Table[x + y x^2, {x, 2, n}, {y, 1, n}]], n] (* Michael De Vlieger, Apr 17 2015 *)

Crossrefs

For numbers of the form x+y*x^2 with 0<y<=10: A002378 (y=1), A014105 (y=2), A049451 (y=3), A007742 (y=4), A202803 (y=5), A049453 (y=6), A092277 (y=7), A139275 (y=8), A154517 (y=9), A055437 (y=10). - Danny Rorabaugh, Apr 20 2015

Sequence in context: A369096 A115405 A343857 * A328674 A316476 A056867

Adjacent sequences: A257141 A257142 A257143 * A257145 A257146 A257147

Keyword

nonn

Author

Gionata Neri, Apr 16 2015

Status

approved