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Search: id:A131515
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A131515 a(n+2) = 34*a(n+1) - a(n) + 2; a(1) = 1 and a(2) = 16 +0
1
1, 16, 545, 18516, 629001, 21367520, 725866681, 24658099636 (list; graph; listen)
OFFSET

1,2

REFERENCES

Chip Curtis, "Generating Heronian Triangles", The College Mathematics Journal, vol. 38 (2007), pp. 315-316. See page 316.

FORMULA

G.f.: -x*(1-19*x+20*x^2)/(-1+x)/(1-34*x+x^2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007

EXAMPLE

If n=3 then a(3) = 34*a(2) - a(1) + 2 = 545 which is the third term in the sequence.

CROSSREFS

Cf. A016064.

Cf. A001110.

Sequence in context: A099772 A041483 A041480 this_sequence A063082 A089156 A135786

Adjacent sequences: A131512 A131513 A131514 this_sequence A131516 A131517 A131518

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Aug 14 2007

EXTENSIONS

Definition corrected by Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 17 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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