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A110273 Pell(n)^3+Pell(n+1)^3. 0
1, 9, 133, 1853, 26117, 367389, 5169809, 72744121, 1023588937, 14402985777, 202665398173, 2851718540021, 40126725007181, 564625868522949, 7944888884612393, 111793070252410993, 1573047872420021137 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (12,30,-12,-1).

FORMULA

G.f.: (1+x)(1-4x-x^2)/((1+2x-x^2)(1-14x-x^2)); a(n)=12a(n-1)+30a(n-2)-12a(n-3)-a(n-4); a(n)=3*(-1)^n*A001333(n)/8+(Pell(3n)+Pell(3(n+1))/8.

MATHEMATICA

LinearRecurrence[{12, 30, -12, -1}, {1, 9, 133, 1853}, 30] (* Harvey P. Dale, Jan 24 2018 *)

CROSSREFS

Cf. A000129, A110272.

Sequence in context: A167253 A097999 A089547 * A082760 A268654 A112426

Adjacent sequences:  A110270 A110271 A110272 * A110274 A110275 A110276

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 18 2005

STATUS

approved

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Last modified October 18 14:52 EDT 2019. Contains 328161 sequences. (Running on oeis4.)