

A129953


First differences of A129952.


6



0, 1, 4, 10, 24, 56, 128, 288, 640, 1408, 3072, 6656, 14336, 30720, 65536, 139264, 294912, 622592, 1310720, 2752512, 5767168, 12058624, 25165824, 52428800, 109051904, 226492416, 469762048, 973078528, 2013265920, 4160749568
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OFFSET

0,3


COMMENTS



LINKS



FORMULA

a(0) = 0, a(1) = 1; for n > 1, a(n) = (n+2)*2^(n2).
G.f.: x*(12*x^2)/(12*x)^2.


PROG

(Magma) m:=16; S:=&cat[ [ 1, 2*i ]: i in [0..m] ]; T:=[ &+[ Binomial(j1, k1)*S[k]: k in [1..j] ]: j in [1..2*m] ]; [ T[n+1]T[n]: n in[1..2*m1] ]; // Klaus Brockhaus, Jun 17 2007
(PARI) {m=29; print1(0, ", ", 1, ", "); for(n=2, m, print1((n+2)*2^(n2), ", "))} \\ Klaus Brockhaus, Jun 17 2007


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



