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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 (list; graph; refs; listen; history; text; internal format)
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^(n-i))); 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

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Last modified November 30 04:37 EST 2022. Contains 358431 sequences. (Running on oeis4.)