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A100206 Row sums of Clark's triangle A046902. 3
0, 7, 20, 46, 98, 202, 410, 826, 1658, 3322, 6650, 13306, 26618, 53242, 106490, 212986, 425978, 851962, 1703930, 3407866, 6815738, 13631482, 27262970, 54525946, 109051898, 218103802, 436207610, 872415226, 1744830458, 3489660922 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Eric Weisstein's World of Mathematics, ClarksTriangle

Index entries for linear recurrences with constant coefficients, signature (3,-2).

FORMULA

a(0)=0; for n>0, a(n) = 13*2^(n-1) - 6. - Max Alekseyev, May 12 2005

From Chai Wah Wu, May 28 2016: (Start)

a(n) = 3*a(n-1) - 2*a(n-2) for n > 1.

G.f.: x*(7 - x)/((x - 1)*(2*x - 1)).

(End)

EXAMPLE

a(0)=0

a(1)=6+1

a(2)=12+7+1

a(3)=18+19+8+1

a(4)=24+37+27+9+1

MATHEMATICA

Join[{0}, Table[13 2^(n-1) - 6, {n, 1, 40}]] (* Vincenzo Librandi, May 29 2016 *)

PROG

(PARI) {a(n) = if(n, 13*2^(n-1)-6, 0)} \\ Max Alekseyev, May 12 2005

(Magma) [0] cat [13*2^(n-1)-6: n in [1..40]]; // Vincenzo Librandi, May 29 2016

CROSSREFS

Sequence in context: A232599 A011934 A159222 * A298288 A299384 A007044

Adjacent sequences:  A100203 A100204 A100205 * A100207 A100208 A100209

KEYWORD

nonn

AUTHOR

Jorge Coveiro, Dec 28 2004

EXTENSIONS

More terms from Max Alekseyev, May 12 2005

STATUS

approved

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Last modified October 6 12:32 EDT 2022. Contains 357264 sequences. (Running on oeis4.)