login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A082804 Smallest multiple of 9 beginning with n. 7
18, 27, 36, 45, 54, 63, 72, 81, 9, 108, 117, 126, 135, 144, 153, 162, 171, 18, 198, 207, 216, 225, 234, 243, 252, 261, 27, 288, 297, 306, 315, 324, 333, 342, 351, 36, 378, 387, 396, 405, 414, 423, 432, 441, 45, 468, 477, 486, 495, 504, 513, 522, 531, 54, 558, 567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,-1).

FORMULA

From Colin Barker, Mar 23 2017: (Start)

G.f.: 9*x*(2 + 3*x + 4*x^2 + 5*x^3 + 6*x^4 + 7*x^5 + 8*x^6 + 9*x^7 + x^8 + 8*x^9 + 7*x^10 + 6*x^11 + 5*x^12 + 4*x^13 + 3*x^14 + 2*x^15 + x^16) / ((1 - x)^2*(1 + x + x^2)^2*(1 + x^3 + x^6)^2).

a(n) = 2*a(n-9) - a(n-18) for n>17.

(End)

MATHEMATICA

Table[If[Mod[n, 9]==0, n, 10n+9-Mod[n, 9]], {n, 56}] (* Ray Chandler, Feb 09 2014 *)

PROG

(PARI) Vec(9*x*(2 + 3*x + 4*x^2 + 5*x^3 + 6*x^4 + 7*x^5 + 8*x^6 + 9*x^7 + x^8 + 8*x^9 + 7*x^10 + 6*x^11 + 5*x^12 + 4*x^13 + 3*x^14 + 2*x^15 + x^16) / ((1 - x)^2*(1 + x + x^2)^2*(1 + x^3 + x^6)^2) + O(x^60)) \\ Colin Barker, Mar 23 2017

CROSSREFS

Cf. A082799, A082800, A082801, A082802, A082803.

Sequence in context: A265738 A151741 A090064 * A262277 A144777 A296130

Adjacent sequences:  A082801 A082802 A082803 * A082805 A082806 A082807

KEYWORD

nonn,base,easy

AUTHOR

Amarnath Murthy, Apr 20 2003

EXTENSIONS

Extended by Ray Chandler, Feb 09 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 5 16:55 EST 2021. Contains 341827 sequences. (Running on oeis4.)