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A068037 Number of subsets of {1,2,3,...,n} that sum to 0 mod 16. 1

%I #6 Sep 08 2022 13:15:36

%S 1,1,1,1,1,1,4,9,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,

%T 65536,131072,262144,524288,1048576,2097152,4194304,8388608,16777216,

%U 33554432,67108864,134217728,268435456,536870912,1073741824,2147483648

%N Number of subsets of {1,2,3,...,n} that sum to 0 mod 16.

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (2).

%F a(n) = 2^(-4+n) for n>7. G.f.: (2*x^8 -x^7 -2*x^6 +x^5 +x^4 +x^3 +x^2 +x -1) / (2*x -1). - _Colin Barker_, Dec 22 2012

%Y 16th row of A068009.

%K nonn,easy

%O 0,7

%A _Antti Karttunen_, Feb 11 2002

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)