The On-Line Encyclopedia of Integer Sequences (OEIS)

A147587 revision #35

A147587

a(n) = 14*n + 7.

7, 21, 35, 49, 63, 77, 91, 105, 119, 133, 147, 161, 175, 189, 203, 217, 231, 245, 259, 273, 287, 301, 315, 329, 343, 357, 371, 385, 399, 413, 427, 441, 455, 469, 483, 497, 511, 525, 539, 553, 567, 581, 595, 609, 623, 637, 651, 665, 679, 693, 707, 721, 735

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OFFSET

0,1

COMMENTS

a(n+3) = 14*n + 49 is the sum of seven consecutive odd numbers starting with 2*n+1. - Wesley Ivan Hurt, Apr 11 2015

Numbers k such that 3^k + 1 is divisible by 547. - Bruno Berselli, Aug 22 2018

Sum of numbers from 2*(n-1) to 2*(n+2). - Bruno Berselli, Oct 25 2018

LINKS

Table of n, a(n) for n=0..52.

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

FORMULA

a(n) = a(n-1) + 14.

a(n) = A132355(2*n+2) - A132355(2*n+1) = 7*A005408(n).

a(n) = 28*n - a(n-1) for n>0, a(0)=7. - Vincenzo Librandi, Nov 24 2010

From Wesley Ivan Hurt, Apr 11 2015: (Start)

G.f.: 7*(1 + x)/(1 - x)^2.

a(n) = 2*a(n-1) - a(n-2). (End)

MAPLE

A147587:=n->14*n+7: seq(A147587(n), n=0..100); # Wesley Ivan Hurt, Apr 11 2015

MATHEMATICA

Range[7, 1000, 14] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)

PROG

(MAGMA) [14*n+7 : n in [0..100]]; // Wesley Ivan Hurt, Apr 11 2015

(PARI) a(n)=14*n+7 \\ Charles R Greathouse IV, Oct 16 2015

CROSSREFS

Cf. A008596, A131877.

Sequence in context: A356454 A045849 A031008 * A208543 A009475 A063292

Adjacent sequences: A147584 A147585 A147586 * A147588 A147589 A147590

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Nov 08 2008

EXTENSIONS

More terms from Vincenzo Librandi, Oct 23 2009

STATUS

proposed