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A129953 First differences of A129952. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = A129952(n+1) - A129952(n).

a(n) = A087447(n) for n > 0.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(0) = 0, a(1) = 1; for n > 1, a(n) = (n+2)*2^(n-2).

G.f.: x*(1-2*x^2)/(1-2*x)^2.

PROG

(MAGMA) m:=16; S:=&cat[ [ 1, 2*i ]: i in [0..m] ]; T:=[ &+[ Binomial(j-1, k-1)*S[k]: k in [1..j] ]: j in [1..2*m] ]; [ T[n+1]-T[n]: n in[1..2*m-1] ]; // Klaus Brockhaus, Jun 17 2007

(PARI) {m=29; print1(0, ", ", 1, ", "); for(n=2, m, print1((n+2)*2^(n-2), ", "))} \\ Klaus Brockhaus, Jun 17 2007

CROSSREFS

Cf. A129952, A087447.

Sequence in context: A090855 A052252 A087447 * A079859 A298802 A118871

Adjacent sequences:  A129950 A129951 A129952 * A129954 A129955 A129956

KEYWORD

nonn

AUTHOR

Paul Curtz, Jun 10 2007

EXTENSIONS

Edited and extended by Klaus Brockhaus, Jun 17 2007

STATUS

approved

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Last modified July 12 06:21 EDT 2020. Contains 335658 sequences. (Running on oeis4.)