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Search: id:A082044
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| 1, 4, 25, 100, 289, 676, 1369, 2500, 4225, 6724, 10201, 14884, 21025, 28900, 38809, 51076, 66049, 84100, 105625, 131044, 160801, 195364, 235225, 280900, 332929, 391876, 458329, 532900, 616225, 708964, 811801, 925444, 1050625, 1188100
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n) = longest side b of all integer-sided triangles with sides a<=b<=c and inradius n >= 1. Triangle has sides (n^2+2,n^4+2n^2+1,n^4+3n^2+1).
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FORMULA
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a(n)=n^4+2n^2+1
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MAPLE
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seq(fibonacci(3, n)^2, n=0..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008
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CROSSREFS
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Cf. A059826, A082047.
See A120062 for sequences related to integer-sided triangles with integer inradius n.
Adjacent sequences: A082041 A082042 A082043 this_sequence A082045 A082046 A082047
Sequence in context: A027764 A095669 A027949 this_sequence A042651 A070764 A110051
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 03 2003
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