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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), May 01 2009]
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FORMULA
| 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
| 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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CROSSREFS
| Cf. A137680, A137681.
A160096 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), May 01 2009]
Sequence in context: A147142 A106472 A036885 * A190360 A167213 A000600
Adjacent sequences: A137679 A137680 A137681 * A137683 A137684 A137685
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 05 2008
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