A017405 a(n) = (11*n+1)^5.

1, 248832, 6436343, 45435424, 184528125, 550731776, 1350125107, 2887174368, 5584059449, 10000000000, 16850581551, 27027081632, 41615795893, 61917364224, 89466096875, 126049300576, 173726604657

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy
• changed

Links

• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A000584, A017401.

Programs

Mathematica

(11Range[0,20]+1)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,248832,6436343,45435424,184528125,550731776},20] (* Harvey P. Dale, Apr 04 2012 *)

Formula

a(0)=1, a(1)=248832, a(2)=6436343, a(3)=45435424, a(4)=184528125, a(5)=550731776, a(n) = 6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+ 6*a(n-5)-a(n-6). - Harvey P. Dale, Apr 04 2012

a(n) = A000584(A017401(n)). - Jason Yuen, Aug 26 2025