A350985 a(0)=4, a(1)=148, a(2)=5044; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

4, 148, 5044, 171364, 5821348, 197754484, 6717831124, 228208503748, 7752371296324, 263352415571284, 8946229758127348, 303908459360758564, 10323941388507663844, 350710098749899812148, 11913819416108085949204, 404719150048925022460804, 13748537282247342677718148, 467045548446360726019956244

Offset

0,1

References

P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (35,-35,1).

Formula

G.f.: -4*(x + 1)^2/((x - 1)*(x^2 - 34*x + 1)). - Chai Wah Wu, Mar 08 2022

Mathematica

RecurrenceTable[{a[0]==4, a[1]==148, a[2]==5044, a[n]==35(a[n-1]-a[n-2])+ a[n-3]}, a, {n, 20}] (* Harvey P. Dale, Mar 08 2022 *)

Crossrefs

Cf. A001541, A001542, A350984, A002315, A001653, A350986.

Equals 4*A006062(n+1).

Sequence in context: A331868 A180375 A160470 * A269136 A226073 A366218

Adjacent sequences: A350982 A350983 A350984 * A350986 A350987 A350988

Keyword

nonn

Author

N. J. A. Sloane, Mar 08 2022

Status

approved