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Search: id:A086601
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| A086601 |
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Triangular numbers + 1 squared. |
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+0
2
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| 1, 4, 16, 49, 121, 256, 484, 841, 1369, 2116, 3136, 4489, 6241, 8464, 11236, 14641, 18769, 23716, 29584, 36481, 44521, 53824, 64516, 76729, 90601, 106276, 123904, 143641, 165649, 190096, 217156, 247009, 279841, 315844, 355216, 398161
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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(A000217(n)+1)^2
(binomial(4+n,2)-binomial(2+n,1))^2. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 30 2006
a(n) = A000124(n)^2. - Omar E. Pol (info(AT)polprimos.com), Oct 30 2007
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EXAMPLE
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a(5)=(t(5)+1)^2=16^2=256
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MAPLE
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[seq((binomial(4+n, 2)-binomial(2+n, 1))^2, n=-2..39)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 30 2006
with (combinat):a:=n->sum(fibonacci(4, i), i=0..n): seq(a(n)+1, n=0..35); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 25 2008
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PROGRAM
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(PARI) w=vector(40, i, (t(i)+1)^2)
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CROSSREFS
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Cf. A000124.
Sequence in context: A034918 A119003 A119005 this_sequence A114185 A085697 A121184
Adjacent sequences: A086598 A086599 A086600 this_sequence A086602 A086603 A086604
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Jul 23 2003
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