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URL: https://oeis.org/A350983

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A350983
a(0)=1, a(1)=25, a(2)=865; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).
1
1, 25, 865, 29401, 998785, 33929305, 1152597601, 39154389145, 1330096633345, 45184131144601, 1534930362283105, 52142448186480985, 1771308307978070401, 60172340023067912665, 2044088252476330960225, 69438828244172184735001, 2358876072049377950029825, 80132347621434678116279065
OFFSET
0,2
REFERENCES
P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.
FORMULA
G.f.: -(5*x - 1)^2/((x - 1)*(x^2 - 34*x + 1)). - Chai Wah Wu, Mar 08 2022
MATHEMATICA
nxt[{a_, b_, c_}]:={b, c, 35(c-b)+a}; NestList[nxt, {1, 25, 865}, 20][[;; , 1]] (* or *) LinearRecurrence[ {35, -35, 1}, {1, 25, 865}, 20] (* Harvey P. Dale, Sep 04 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 08 2022
STATUS
approved