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A082405
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a(n) = 34*a(n-1) - a(n-2); a(0)=0, a(1)=6.
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1
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0, 6, 204, 6930, 235416, 7997214, 271669860, 9228778026, 313506783024, 10650001844790, 361786555939836, 12290092900109634, 417501372047787720, 14182756556724672846, 481796221556591089044, 16366888776367372354650
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sequence refers to inradius of primitive Pythagorean triangle with consecutive legs,even followed by odd.It has semiperimeter A046176(n+1) and area a(n)*A046176(n+1).
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| For n>1, a(n)/2 = A001652(2*n-1)-sum_{k=0...n-1}A001333(4*k); e.g. 6930/2 = 4059 - (17+577). - Charlie Marion (charliem(AT)bestweb.net), Jul 31 2003
a(n)=A001109(2n).
a(n)=(1/8)*sqrt(2)*[17+12*sqrt(2)]^n-(1/8)*[17-12*sqrt(2)]^n*sqrt(2), with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 02 2008]
G.f.: 6x/(1-34*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 18 2008]
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CROSSREFS
| Cf. A046176.
Sequence in context: A109058 A003743 A115491 * A183595 A054653 A061540
Adjacent sequences: A082402 A082403 A082404 * A082406 A082407 A082408
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KEYWORD
| nonn
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AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 23 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Sep 02 2004
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