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Search: id:A034262
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| 0, 2, 10, 30, 68, 130, 222, 350, 520, 738, 1010, 1342, 1740, 2210, 2758, 3390, 4112, 4930, 5850, 6878, 8020, 9282, 10670, 12190, 13848, 15650, 17602, 19710, 21980, 24418, 27030, 29822, 32800, 35970, 39338, 42910, 46692, 50690, 54910
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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n such that x^3 + x + n factors over the integers. - James Buddenhagen (jbuddenh(AT)gmail.com), Apr 19 2005
If a(n)=X [A155977], Y=b(n) [A071253], Z=c(n) [A034262], then X^2 + Y^2 = n*Z^3, (for all n of a(n), b(n),c(n)); Example: If n=3, a(3)=270, b(3)=90, c(3)=30, then 270^2+90^2=3*30^3; [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 01 2009]
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FORMULA
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a(n)=A002522(n)*A001477(n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 20 2008
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MAPLE
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with(combinat, fibonacci):seq(fibonacci(3, i)*i, i=0..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 20 2008
with(combinat):seq(lcm(fibonacci(3, n), n), n=0..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 20 2008
a:=n->sum(1+sum(n, k=1..n), k=1..n):seq(a(n), n=0...38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 11 2008
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CROSSREFS
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Cf. A001477, A002522.
Cf. A000290, A001477.
Cf. A071253, A155977 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 01 2009]
Sequence in context: A047198 A162524 A065137 this_sequence A167214 A034827 A051667
Adjacent sequences: A034259 A034260 A034261 this_sequence A034263 A034264 A034265
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KEYWORD
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nonn
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AUTHOR
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Stuart M. Ellerstein (ellerstein(AT)aol.com), Apr 21 2000
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