cp's OEIS Frontend

A158875 Row sums of A099884, the XOR difference triangle of the powers of 2.

%I A158875 #2 Mar 30 2012 18:37:16
%S A158875 1,5,15,45,107,265,615,1485,3227,7225,15735,35325,75019,163145,348135,
%T A158875 761805,1589147,3374905,7077495,15138045,31390219,66122825,137816295,
%U A158875 292344525,601532059,1253593145,2591401335,5435447805,11157226763
%N A158875 Row sums of A099884, the XOR difference triangle of the powers of 2.
%e A158875 Triangle A099884 begins:
%e A158875 1;
%e A158875 2, 3;
%e A158875 4, 6, 5;
%e A158875 8, 12, 10, 15;
%e A158875 16, 24, 20, 30, 17;
%e A158875 32, 48, 40, 60, 34, 51;
%e A158875 64, 96, 80, 120, 68, 102, 85;
%e A158875 128, 192, 160, 240, 136, 204, 170, 255;
%e A158875 256, 384, 320, 480, 272, 408, 340, 510, 257; ...
%e A158875 where terms in any column are formed from the XOR operation between
%e A158875 adjacent terms of the prior column, with column 0 being powers of 2.
%o A158875 (PARI) {a(n)=local(B,RS=0); for(k=0,n, B=0; for(i=0, k, B=bitxor(B, binomial(k, i)%2*2^(n-i))); RS+=B);RS}
%Y A158875 Cf. A099884.
%K A158875 nonn
%O A158875 0,2
%A A158875 _Paul D. Hanna_, Apr 11 2009