A373664 Positive integers that cannot be written as a sum of a practical number and a 12-gonal number.

10, 11, 15, 22, 23, 26, 27, 38, 46, 47, 50, 58, 59, 62, 71, 74, 77, 83, 86, 95, 98, 103, 110, 114, 115, 119, 122, 131, 134, 139, 143, 146, 149, 155, 166, 167, 170, 175, 178, 179, 182, 187, 191, 194, 202, 203, 206, 207, 215, 227, 230, 238, 239, 242, 248, 250

Offset

1,1

Comments

Somu and Tran (2024) proved that there are infinitely many such integers. More generally, infinitely many positive integers cannot be written as a sum of a practical number and an s-gonal number if s is a multiple of 12.

Links

Duc Van Khanh Tran, Table of n, a(n) for n = 1..10000

Sai Teja Somu and Duc Van Khanh Tran, On sums of practical numbers and polygonal numbers, Journal of Integer Sequences, 27(5), 2024.

Crossrefs

Cf. A005153, A051624.

Sequence in context: A043809 A043818 A274564 * A112787 A264719 A214792

Adjacent sequences: A373661 A373662 A373663 * A373665 A373666 A373667

Keyword

nonn

Author

Duc Van Khanh Tran, Jun 12 2024

Status

approved