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A100381 2^n*binomial(n,2). +0
2
0, 0, 4, 24, 96, 320, 960, 2688, 7168, 18432, 46080, 112640, 270336, 638976, 1490944, 3440640, 7864320, 17825792, 40108032, 89653248, 199229440, 440401920, 968884224, 2122317824, 4630511616, 10066329600, 21810380800, 47110422528 (list; graph; listen)
OFFSET

0,3

COMMENT

Equals 2*A001815 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 09 2006

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 27 2009: (Start)

Equals 4*A001788(n-1).

(End)

FORMULA

1-log(2) is the sum of reciprocals of a(n), n=2,3,4,... (log means natural logarithm) - Graeme McRae (g_m(AT)mcraefamily.com), Jul 28 2006

a(n)=sum(k*2^k, k=0..n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 09 2006

MAPLE

seq(2^n*binomial(n, 2), n=0..20);

PROGRAM

(Other) SAGE: [lucas_number2(n, 2, 0)*binomial(n, 2) for n in xrange(0, 20)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 10 2009]

CROSSREFS

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 27 2009: (Start)

Appears in A162007.

(End)

Sequence in context: A009769 A119878 A054603 this_sequence A091143 A119920 A100738

Adjacent sequences: A100378 A100379 A100380 this_sequence A100382 A100383 A100384

KEYWORD

nonn

AUTHOR

Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 30 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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