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A082145 A subdiagonal of number array A082137. 5
1, 5, 42, 336, 2640, 20592, 160160, 1244672, 9674496, 75246080, 585761792, 4564377600, 35602145280, 277970595840, 2172375244800, 16992801914880, 133035751833600, 1042374243778560, 8173537721057280, 64136851016908800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = ( 2^(n-1) + (0^n)/2 )*binomial(2*n+3, n).

(n+3)*a(n) +2*(-7*n-13)*a(n-1) +24*(2*n+1)*a(n-2)=0. - R. J. Mathar, Oct 29 2014

EXAMPLE

a(0) = ( 2^(-1)+(0^0)/2 )*C(3,0) = ( 1/2+1/2 )*1 = 1 (use 0^0 = 1).

MAPLE

Z:=(1-3*z-sqrt(1-4*z))/sqrt(1-4*z)/64: Zser:=series(Z, z=0, 32): seq(coeff(Zser*2^(n+1), z, n), n=4..23); # Zerinvary Lajos, Jan 01 2007

MATHEMATICA

Join[{1}, Table[2^(n-1)* Binomial[2*n+3, n], {n, 1, 30}] (* G. C. Greubel, Feb 05 2018 *)

PROG

(MAGMA) [(2^(n-1)+(0^n)/2)*Binomial(2*n+3, n): n in [0..30]]; // Vincenzo Librandi, Oct 30 2014

(PARI) for(n=0, 30, print1((2^(n-1) + 0^n/2)*Binomial(2*n+3, n), ", ")) \\ G. C. Greubel, Feb 05 2018

CROSSREFS

Cf. A069723, A082143, A082144.

Sequence in context: A062021 A241780 A215785 * A126765 A228793 A024492

Adjacent sequences:  A082142 A082143 A082144 * A082146 A082147 A082148

KEYWORD

nonn,easy,changed

AUTHOR

Paul Barry, Apr 06 2003

EXTENSIONS

Example clarified by Jon Perry, Oct 29 2014

STATUS

approved

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Last modified February 19 18:31 EST 2018. Contains 299356 sequences. (Running on oeis4.)