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Search: id:A086570
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| A086570 |
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G.f.: (1 + 3x + 5x^2 + 7x^3...) / (1 - 2x + 3x^2 - 4x^3...). |
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+0
4
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| 1, 5, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84, 92, 100, 108, 116, 124, 132, 140, 148, 156, 164, 172, 180, 188, 196, 204, 212, 220, 228, 236, 244, 252, 260, 268, 276, 284, 292, 300, 308, 316, 324, 332, 340, 348, 356
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums of number triangle A113128. - Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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REFERENCES
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Gary W. Adamson
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FORMULA
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a(0) = 1, a(1) = 5, a(2) = 12; then a(n+1) = a(n) + 8, n>2.
G.f.: (1+x)^3/(1-x)^2; a(n)=8n-4+4*C(0, n)+C(1, n); a(n)=C(n+1, n)+3*C(n, n-1)+3*C(n-1, n-2)+C(n-2, n-3); - Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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EXAMPLE
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a(6) = 44 = 8 + a(5) = 8 + 36
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CROSSREFS
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Adjacent sequences: A086567 A086568 A086569 this_sequence A086571 A086572 A086573
Sequence in context: A017041 A099192 A047077 this_sequence A063559 A121291 A097984
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 22 2003
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EXTENSIONS
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More terms from Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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