A131575 First differences of A131572.

1, 1, 0, 2, 0, 4, 0, 8, 0, 16, 0, 32, 0, 64, 0, 128, 0, 256, 0, 512, 0, 1024, 0, 2048, 0, 4096, 0, 8192, 0, 16384, 0, 32768, 0, 65536, 0, 131072, 0, 262144, 0, 524288, 0, 1048576, 0, 2097152, 0, 4194304, 0, 8388608, 0

Offset

0,4

Links

Table of n, a(n) for n=0..48.

Index entries for linear recurrences with constant coefficients, signature (0, 2).

Formula

a(n) = A131572(n+1) - A131572(n).

a(n) = A077957(n-1), n>0.

G.f.: (1 + x - 2x^2)/(1-2x^2). - Philippe Deléham, Oct 01 2011

Mathematica

Differences[LinearRecurrence[{0, 2}, {0, 1, 2}, 50]] (* or *) LinearRecurrence[ {0, 2}, {1, 1, 0}, 50] (* or *) Join[{1}, Riffle[2^Range[0, 30], 0]] (* Harvey P. Dale, Jul 10 2018 *)

Crossrefs

Sequence in context: A393509 A194795 A393515 * A077957 A077966 A275670

Adjacent sequences: A131572 A131573 A131574 * A131576 A131577 A131578

Keyword

nonn,easy

Author

Paul Curtz, Aug 28 2007

Extensions

Edited by R. J. Mathar, Jul 16 2008

More terms from Philippe Deléham, Oct 01 2011

Status

approved