

A158875


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


1



1, 5, 15, 45, 107, 265, 615, 1485, 3227, 7225, 15735, 35325, 75019, 163145, 348135, 761805, 1589147, 3374905, 7077495, 15138045, 31390219, 66122825, 137816295, 292344525, 601532059, 1253593145, 2591401335, 5435447805, 11157226763
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..28.


EXAMPLE

Triangle A099884 begins:
1;
2, 3;
4, 6, 5;
8, 12, 10, 15;
16, 24, 20, 30, 17;
32, 48, 40, 60, 34, 51;
64, 96, 80, 120, 68, 102, 85;
128, 192, 160, 240, 136, 204, 170, 255;
256, 384, 320, 480, 272, 408, 340, 510, 257; ...
where terms in any column are formed from the XOR operation between
adjacent terms of the prior column, with column 0 being powers of 2.


PROG

(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^(ni))); RS+=B); RS}


CROSSREFS

Cf. A099884.
Sequence in context: A146632 A076103 A094283 * A022813 A000334 A000335
Adjacent sequences: A158872 A158873 A158874 * A158876 A158877 A158878


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Apr 11 2009


STATUS

approved



