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A209835 Smallest k >= 0 such that 2k + (n-th average of twin prime pairs) is oblong number. 0

%I #17 Aug 16 2022 16:01:37

%S 1,0,0,1,0,0,6,0,4,1,9,3,1,9,6,6,0,1,12,15,16,0,15,0,15,15,0,16,4,21,

%T 1,24,21,6,24,18,12,3,30,15,19,15,27,21,15,6,27,15,0,36,16,10,27,12,0,

%U 9,10,7,24,15,36,21,40,37,25,16,10,9,42,21,6,34,0,30,49,34,22,13,36,30,0

%N Smallest k >= 0 such that 2k + (n-th average of twin prime pairs) is oblong number.

%C Averages of twin prime pairs of the form n(n+1): 6, 12, 30, 42, 72, 240, 420, 462, 600, 1482, 1722, 2550, 2970, 3540, 4422, 8010, 10302, 17292, 19182, 20022, 23562, 24180, 27060, 31152... , multiples of 6 as stated in A002822.

%Y Cf. A002378, A014574.

%K nonn

%O 1,7

%A _Gerasimov Sergey_, Mar 14 2012

%E Corrected by _R. J. Mathar_, Mar 15 2012

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