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A053221 Row sums of triangle A053218. +0
5
1, 5, 16, 43, 106, 249, 568, 1271, 2806, 6133, 13300, 28659, 61426, 131057, 278512, 589807, 1245166, 2621421, 5505004, 11534315, 24117226, 50331625, 104857576, 218103783, 452984806, 939524069, 1946157028, 4026531811, 8321499106 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = (n+2)*2^(n-1)-n-1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 28 2003

EXAMPLE

a(4) = 4 + 7 + 12 + 20 = 43

MAPLE

a:=n->sum(sum(binomial(n, j), j=1..k), k=1..n): seq(a(n), n=1..29); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 02 2007

CROSSREFS

Cf. A053218, A053219, A053220.

Sequence in context: A066634 A034358 A036888 this_sequence A137221 A137234 A079094

Adjacent sequences: A053218 A053219 A053220 this_sequence A053222 A053223 A053224

KEYWORD

nonn

AUTHOR

Asher Auel (asher.auel(AT)reed.edu) Jan 01 2000

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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