This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A195037 17 times triangular numbers. 2
 0, 17, 51, 102, 170, 255, 357, 476, 612, 765, 935, 1122, 1326, 1547, 1785, 2040, 2312, 2601, 2907, 3230, 3570, 3927, 4301, 4692, 5100, 5525, 5967, 6426, 6902, 7395, 7905, 8432, 8976, 9537, 10115, 10710, 11322, 11951, 12597, 13260, 13940, 14637, 15351, 16082, 16830 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Related to the primitive Pythagorean triple [5, 12, 13]. Sequence found by reading the line from 0, in the direction 0, 17, ..., and the same line from 0, in the direction 0, 51, ..., in the Pythagorean spiral whose edges have length A195031 and whose vertices are the numbers A195032. This is the main diagonal of the square spiral. Sum of the numbers from 8n to 9n. - Wesley Ivan Hurt, Dec 23 2015 LINKS Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = (17*n^2 + 17*n)/2 = 17*n*(n+1)/2 = 17*A000217(n). From Wesley Ivan Hurt, Dec 23 2015: (Start) G.f.: 17*x/(1-x)^3. a(n) = 3*a(n-1)-3*a(n-2)+a(n-3) for n>2. a(n) = Sum_{i=8n..9n} i. (End) MAPLE A195037:=n->17*n*(n+1)/2: seq(A195037(n), n=0..60); # Wesley Ivan Hurt, Dec 23 2015 MATHEMATICA 17*Accumulate[Range[0, 50]] (* Harvey P. Dale, May 31 2014 *) Table[17*n*(n + 1)/2, {n, 0, 50}] (* Wesley Ivan Hurt, Dec 23 2015 *) PROG (MAGMA) [17*n*(n+1)/2 : n in [0..50]]; // Wesley Ivan Hurt, Dec 23 2015 (PARI) a(n)=17*n*(n+1)/2 \\ Charles R Greathouse IV, Jun 17 2017 CROSSREFS Bisection of A195032. Cf. A000217, A195031. Sequence in context: A160076 A003124 A005570 * A214660 A258598 A223906 Adjacent sequences:  A195034 A195035 A195036 * A195038 A195039 A195040 KEYWORD nonn,easy AUTHOR Omar E. Pol, Sep 12 2011 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.

Last modified September 16 02:16 EDT 2019. Contains 327088 sequences. (Running on oeis4.)