login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A334919
Numbers of the form i + j + 3*i*j for i,j >= 1 together with numbers of the form -i - j + 3*i*j for i,j >= 2.
2
5, 8, 9, 13, 16, 17, 18, 21, 23, 25, 28, 29, 30, 33, 37, 38, 40, 41, 43, 44, 45, 48, 49, 51, 53, 56, 57, 58, 61, 62, 63, 65, 68, 69, 72, 73, 77, 78, 79, 81, 82, 83, 84, 85, 86, 88, 89, 93, 95, 96, 97, 98, 100, 101, 103, 105, 106, 107, 108, 109, 113, 114, 117
OFFSET
1,1
EXAMPLE
5 is a term because 5 = 1+1+3*1*1.
8 is a term because 8 = -2-2+3*2*2.
16 is a term because 16 = 2+2+3*2*2.
PROG
(Magma) [m:m in [1..101]|exists(a){i:i in [1..m-1]|IsIntegral((m-i)/(1+3*i))} or exists(b){j:j in [2..m-1]|IsIntegral((m+j)/(-1+3*j)) and (m+j)/(-1+3*j) ge 2}]; // Marius A. Burtea, Jun 04 2020
CROSSREFS
Complement of A335031.
Sequence in context: A293913 A213881 A179832 * A047616 A287551 A375713
KEYWORD
nonn
AUTHOR
Davide Rotondo, May 16 2020
STATUS
approved