A060183 a(0)=1, a(n) = 100*a(n-1) + 36*n - 128.

1, 8, 744, 74380, 7438016, 743801652, 74380165288, 7438016528924, 743801652892560, 74380165289256196, 7438016528925619832, 743801652892561983468, 74380165289256198347104

Offset

0,2

Comments

The square roots of these numbers have some interesting properties; e.g., sqrt(a(8))= 2.7272727272727236363636363636339393939393939361616161616...*10^7. [corrected by Jon E. Schoenfield, Jul 03 2018]

Links

Harry J. Smith, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (102, -201, 100).

Formula

a(n) = (9/121)*100^n + 112/121 - (4/11)*n. - Robert Israel

From R. J. Mathar, Feb 14 2010: (Start)

a(n) = 102*a(n-1) - 201*a(n-2) + 100*a(n-3).

G.f.: -(1-94*x+129*x^2)/((100*x-1) * (x-1)^2). (End)

Maple

a := proc(n) option remember: if n=0 then RETURN(1) fi: 100 * a(n-1) + 36 * n - 128 end: for n from 0 to 30 do printf(`%d, `, a(n)) od:

Prog

(PARI) { for (n=0, 100, if (n==0, a=1, a=100*a + 36*n - 128); write("b060183.txt", n, " ", a); ) } \\ Harry J. Smith, Jul 02 2009

Crossrefs

Sequence in context: A240283 A181153 A184974 * A262353 A268148 A145415

Adjacent sequences: A060180 A060181 A060182 * A060184 A060185 A060186

Keyword

nonn

Author

Jason Earls, Mar 19 2001

Extensions

More terms from James A. Sellers, Mar 26 2001

Status

approved