A016822 a(n) = (4n+1)^10.

1, 9765625, 3486784401, 137858491849, 2015993900449, 16679880978201, 95367431640625, 420707233300201, 1531578985264449, 4808584372417849, 13422659310152401, 34050628916015625, 79792266297612001, 174887470365513049, 362033331456891249, 713342911662882601

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy
• changed

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

Crossrefs

Cf. A008454, A016813.

Programs

Mathematica

Table[(4n+1)^10,{n,0,100}] (* Mohammad K. Azarian, Jun 20 2016 *)
LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1,9765625,3486784401,137858491849,2015993900449,16679880978201,95367431640625,420707233300201,1531578985264449,4808584372417849,13422659310152401},20] (* Harvey P. Dale, Sep 02 2025 *)

Formula

a(n) = A008454(A016813(n)). - Michel Marcus, Jun 21 2016

G.f.: (1 + 9765614*x + 3379362581*x^2 + 100040972648*x^3 + 689712304370*x^4 + 1514068354580*x^5 + 1167881384066*x^6 + 306865115624*x^7 + 22833444557*x^8 + 281825710*x^9 + 59049*x^10)/(1 - x)^11. - Ilya Gutkovskiy, Jun 21 2016