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A016885 a(n) = 5*n+3. 32
3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Numbers ending in 3 or 8. - Lekraj Beedassy, Jul 08 2006

Also numbers congruent to {3,8,13} mod 15. - Gary Detlefs, Mar 07 2010

Number of moves in game of Brussels Sprouts with n+1 crosses. - Charles R Greathouse IV, Mar 09 2014

REFERENCES

Elwyn R. Berlekamp, John Conway, and Richard K. Guy, Winning Ways for your Mathematical Plays, A K Peters, 2001.

L. Hogben, Choice and Chance by Cardpack and Chessboard. Vol. 1, Chanticleer Press, NY, 1950, p. 36.

LINKS

Table of n, a(n) for n=0..56.

Teena Gerhadt and Brady Haran, Brussels Sprouts - Numberphile (2014)

Tanya Khovanova, Recursive Sequences

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

FORMULA

a(n) = floor((15n+10)/3). - Gary Detlefs, Mar 07 2010

a(n) = 10*n-a(n-1)+1, (with a(0)=3). - Vincenzo Librandi, Nov 20 2010

G.f.: (3+2*x)/(1-x)^2. - Colin Barker, Jan 08 2012

MAPLE

a[1]:=3:for n from 2 to 100 do a[n]:=a[n-1]+5 od: seq(a[n], n=1..57); # Zerinvary Lajos, Mar 16 2008

MATHEMATICA

Range[3, 500, 5] (* Vladimir Joseph Stephan Orlovsky, May 26 2011 *)

PROG

(Sage) [i+3 for i in range(285) if gcd(i, 5) == 5] # Zerinvary Lajos, May 20 2009

(PARI) a(n)=5*n+3 \\ Charles R Greathouse IV, Mar 09 2014

CROSSREFS

Cf. A008587, A016861, A016873.

Cf. similar sequences with closed form (2*k-1)*n+k listed in A269044.

Sequence in context: A282025 A095762 A277600 * A190517 A105502 A105702

Adjacent sequences:  A016882 A016883 A016884 * A016886 A016887 A016888

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from James A. Sellers, Jul 06 2000

STATUS

approved

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Last modified June 24 20:05 EDT 2017. Contains 288707 sequences.