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Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers.
8

%I #16 Feb 04 2021 18:12:51

%S 104,208,416,832,1352,1664,1768,1976,2392,2704,3016,3224,3328,3536,

%T 3848,3952,4264,4472,4784,4888,5408,5512,6032,6136,6344,6448,6656,

%U 6968,7072,7384,7592,7696,7904,8216,8528,8632,8944,9256,9568,9776,10088,10504,10712

%N Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers.

%H Ray Chandler, <a href="/A270300/b270300.txt">Table of n, a(n) for n = 1..10000</a>

%F A163169(a(n)) = 13. - _Ray Chandler_, Mar 22 2016

%F a(n) == 0 (mod 104). - _Hugo Pfoertner_, Feb 04 2021

%e 90 = 1 + 2 + 3 + ... + 11 + 12 + 13 = 29 + 30 + 31 (not in sequence);

%e 104 = 2 + 3 + 4 + ... + 12 + 13 + 14;

%e 208 = 10 + 11 + 12 + ... + 20 + 21 + 22;

%e 416 = 26 + 27 + 28 + ... + 36 + 37 + 38.

%Y Cf. A138591, A270296, A270297, A270298, A270299, A270301, A270302, A270303.

%K nonn

%O 1,1

%A _Martin Renner_, Mar 14 2016