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A118554
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a(n) = 6*a(n-5)-a(n-10)+98 with a(0)=0, a(1)=11, a(2)=35, a(3)=56, a(4)=104, a(5)=147, a(6)=204, a(7)=336, a(8)=455, a(9)=731.
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0, 11, 35, 56, 104, 147, 204, 336, 455, 731, 980, 1311, 2079, 2772, 4380, 5831, 7760, 12236, 16275, 25647, 34104, 45347, 71435, 94976, 149600, 198891, 264420, 416472, 553679, 872051, 1159340, 1541271, 2427495, 3227196, 5082804, 6757247, 8983304
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The sequence allows us to solve the equation X^2+(X+49)^2=Y^2.
Consider all Pythagorean triples (X,X+49,Z) ordered by increasing Z; sequence gives X values.
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REFERENCES
| Mohamed Bouhamida(Algeria),E.Mail:bhmd95(AT)yahoo.fr
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FORMULA
| a(0)=0, a(1)=11, a(2)=35, a(3)=56, a(4)=104, a(5)=147, a(6)=204, a(7)=336, a(8)=455, a(9)=731, a(10)=980, a(n)=a(n-1)+6*a(n-5)-6*a(n-6)- a(n-10)+a(n-11) [From Harvey P. Dale, Aug 19 2011]
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MATHEMATICA
| LinearRecurrence[{1, 0, 0, 0, 6, -6, 0, 0, 0, -1, 1}, {0, 11, 35, 56, 104, 147, 204, 336, 455, 731, 980}, 40] (* From Harvey P. Dale, Aug 19 2011 *)
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CROSSREFS
| Sequence in context: A114445 A054475 A029540 * A092069 A103115 A003777
Adjacent sequences: A118551 A118552 A118553 * A118555 A118556 A118557
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KEYWORD
| nonn
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AUTHOR
| Mohamed Bouhamida (bhmd95(AT)yahoo.fr), May 07 2006
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