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Numbers which are representable as a sum of eight but no fewer consecutive nonnegative integers.
9

%I #17 Feb 04 2021 20:52:23

%S 44,52,68,76,92,116,124,148,164,172,188,212,236,244,268,284,292,316,

%T 332,356,388,404,412,428,436,452,484,508,524,548,556,572,596,604,628,

%U 652,668,676,692,716,724,748,764,772,788,796,836,844,884,892,908,916,932

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

%H Ray Chandler, <a href="/A270298/b270298.txt">Table of n, a(n) for n = 1..10000</a>

%F A163169(a(n)) = 8. - _Ray Chandler_, Mar 22 2016

%F a(n) = 4*A008364(n+1). - _Hugo Pfoertner_, Feb 04 2021

%e 36 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 11 + 12 + 13 (not in sequence);

%e 44 = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9;

%e 52 = 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10;

%e 68 = 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12.

%Y Cf. A008364, A138591, A270296, A270297, A270299, A270300, A270301, A270302, A270303.

%K nonn

%O 1,1

%A _Martin Renner_, Mar 14 2016