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

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A152740 11 times triangular numbers. 8
 0, 11, 33, 66, 110, 165, 231, 308, 396, 495, 605, 726, 858, 1001, 1155, 1320, 1496, 1683, 1881, 2090, 2310, 2541, 2783, 3036, 3300, 3575, 3861, 4158, 4466, 4785, 5115, 5456, 5808, 6171, 6545, 6930, 7326, 7733, 8151, 8580, 9020, 9471, 9933, 10406, 10890 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence found by reading the line from 0, in the direction 0, 11,... and the same line from 0, in the direction 0, 33,..., in the square spiral whose vertices are the generalized tridecagonal numbers A195313. Axis perpendicular to A195149 in the same spiral. - Omar E. Pol, Sep 18 2011 Sum of the numbers from 5n to 6n. - Wesley Ivan Hurt, Dec 22 2015 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = 11*n*(n+1)/2 = 11*A000217(n). a(n) = a(n-1)+11*n with n>0, a(0)=0. - Vincenzo Librandi, Nov 26 2010 a(n) = A069125(n+1) - 1. - Omar E. Pol, Oct 03 2011 From Philippe Deléham, Mar 27 2013: (Start) G.f.: 11*x/(1-x)^3. a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) for n>2, a(0)=0, a(1)=11, a(2)=33. a(n) = A218530(11n+10). a(n) = A211013(n)+n = A022269(n)+5n = A022268(n)+6n = A180223(n)+9n = A051865(n)+10n. (End) a(n) = Sum_{i=5n..6n} i. - Wesley Ivan Hurt, Dec 22 2015 MAPLE A152740:=n->11*n*(n+1)/2: seq(A152740(n), n=0..60); # Wesley Ivan Hurt, Dec 22 2015 MATHEMATICA Table[11*n*(n - 1)/2, {n, 100}] (* Vladimir Joseph Stephan Orlovsky, Jul 06 2011 *) LinearRecurrence[{3, -3, 1}, {0, 11, 33}, 100] (* G. C. Greubel, Dec 22 2015 *) PROG (MAGMA) [11*n*(n+1)/2 : n in [0..60]]; // Wesley Ivan Hurt, Dec 22 2015 (PARI) x='x+O('x^100); concat(0, Vec(11*x/(1-x)^3)) \\ Altug Alkan, Dec 23 2015 CROSSREFS Cf. A000217, A022268, A022269, A049598, A051865, A069125, A124080, A180223, A195149, A195313, A211013, A218530. Sequence in context: A132285 A249166 A296543 * A080859 A063036 A163673 Adjacent sequences:  A152737 A152738 A152739 * A152741 A152742 A152743 KEYWORD nonn,easy AUTHOR Omar E. Pol, Dec 12 2008 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 November 30 06:11 EST 2020. Contains 338781 sequences. (Running on oeis4.)