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A245560 Row sums of triangle in A144480. 1
1, 2, 6, 14, 36, 82, 196, 436, 1000, 2186, 4884, 10540, 23128, 49428, 107048, 227048, 486864, 1026394, 2183860, 4581244, 9686776, 20237372, 42571896, 88632664, 185653936, 385380932, 804316296, 1665340856, 3464899440, 7158117736, 14853106384 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

FORMULA

From N. J. A. Sloane, Aug 07 2014: if n is even, a(n) = (n+2)*2^(n-1)-(n/2)*binomial(n,n/2) otherwise a(n) = (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1,(n+1)/2). This follows easily from the definition.

MAPLE

f:=n->if (n mod 2) = 0 then (n+2)*2^(n-1)-(n/2)*binomial(n, n/2)

else (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1, (n+1)/2); fi;

[seq(f(n), n=0..40)];

CROSSREFS

Cf. A144480.

Sequence in context: A283438 A323027 A110152 * A175654 A017922 A077937

Adjacent sequences:  A245557 A245558 A245559 * A245561 A245562 A245563

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Oct 11 2008

EXTENSIONS

Edited with more terms by N. J. A. Sloane, Aug 07 2014

STATUS

approved

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Last modified February 20 18:39 EST 2019. Contains 320345 sequences. (Running on oeis4.)