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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A135089 T(n,k) = 5*binomial(n,k), n>0, (0<=k<=n). 2
 1, 5, 5, 5, 10, 5, 5, 15, 15, 5, 5, 20, 30, 20, 5, 5, 25, 50, 50, 25, 5, 5, 30, 75, 100, 75, 30, 5, 5, 35, 105, 175, 175, 105, 35, 5, 5, 40, 140, 280, 350, 280, 140, 40, 5, 5, 45, 180, 420, 630, 630, 420, 180, 45, 5, 5, 50, 225, 600, 1050, 1260, 1050, 600, 225, 50, 5 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = A020714 (except for the first term). REFERENCES Triangle T(n,k), 0<=k<=n, read by rows given by (5, -4, 0, 0, 0, 0, 0, 0, 0...) DELTA (5, -4, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 24 2013 LINKS G. C. Greubel, Table of n, a(n) for the first 50 rows FORMULA T(n,k) = 5*binomial (n,k), n>0, (0<=k<=n). Equals 2*A134059 - A007318. G.f.: (1+4*x+4*x*y)/(1-x-x*y). - Philippe Deléham, Nov 24 2013 EXAMPLE First few rows of the triangle are: 1; 5, 5; 5, 10, 5; 5, 15, 15, 5; 5, 20, 30 20, 5; 5, 25, 50, 50, 25, 5; 5, 30, 75, 100, 75, 30, 5. MATHEMATICA Join[{1}, Table[5*Binomial[n, k], {n, 1, 10}, {k, 0, n}]] // Flatten (* G. C. Greubel, Sep 22 2016 *) CROSSREFS Cf. A007318, A134058, A134059, A132200, A020714. Sequence in context: A087516 A194428 A299695 * A127310 A214925 A101597 Adjacent sequences:  A135086 A135087 A135088 * A135090 A135091 A135092 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Nov 18 2007 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 23 18:51 EDT 2020. Contains 337315 sequences. (Running on oeis4.)