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A137682
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Left border of triangle A137680.
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5
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1, 1, 3, 7, 17, 40, 96, 228, 544, 1296, 3089, 7361, 17544, 41810, 99643, 237471, 565946, 1348773, 3214424, 7660679, 18257085, 43510652, 103695461, 247129108, 588963062, 1403628615, 3345155947, 7972242937, 18999609718, 45280252031
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OFFSET
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1,3
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COMMENTS
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Each term in the sequence (n>1) = sum of previous terms of triangle A137680 = partial sums of sequence A137681: (1, 2, 4, 10, 23,...).
Starting (1, 3, 7,...) = INVERT transform of A160096 [Gary W. Adamson, May 01 2009]
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LINKS
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Table of n, a(n) for n=1..30.
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FORMULA
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Partial sums of sequence A137681 prefaced with a 1. a(n) = sum of all terms in rows 1 through (n-1) in triangle A137680.
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EXAMPLE
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First few rows of triangle A137680 =
1;
1, 1;
3, 0, 1;
7, 2, 0, 1;
...
a(5) = 17 = sum of 1 through 4 row terms of triangle A137680: (1 + 2 + 4 + 10); where (1, 2, 4, 10, 23,...) = A137681 = row sums of triangle A137680 = first difference row of A137682, n>1.
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MAPLE
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A137682 := proc(n)
A137680(n, 1) ;
end proc:
seq(A137682(n), n=1..30) ; # R. J. Mathar, Aug 12 2012
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CROSSREFS
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Cf. A137680, A137681.
Cf. A160096.
Sequence in context: A147142 A106472 A036885 * A190360 A167213 A000600
Adjacent sequences: A137679 A137680 A137681 * A137683 A137684 A137685
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson, Feb 05 2008
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STATUS
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approved
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