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!)
 A153583 Convolution triangle by rows, A004736 * (A153582 * 0^(n-k)). 2
 1, 2, 1, 3, 2, 3, 4, 3, 6, 9, 5, 4, 9, 18, 24, 6, 5, 12, 27, 48, 65, 7, 6, 15, 36, 72, 130, 177, 8, 7, 18, 45, 96, 195, 354, 481, 9, 8, 21, 54, 120, 260, 531, 962, 1308, 10, 9, 24, 63, 144, 325, 708, 1443, 2616, 3555, 11, 10, 27, 72, 168, 390, 885, 1924, 3924, 7110, 9664 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = A024581: (1, 3, 8, 22, 60, 163,...). Right border = A153582. LINKS Steve Butler, R. L. Graham & Nan Zang, Jumping Sequences, Journal of Integer Sequences, Vol. 11, 2008, 08.4.5. FORMULA Convolution triangle by rows, A004736 * (A153582 * 0^(n-k)). EXAMPLE First few rows of the triangle =   1;   2, 1;   3, 2, 3;   4, 3, 6, 9;   5, 4, 9, 18, 24;   6, 5, 12, 27, 48, 65;   7, 6, 15, 36, 72, 130, 177;   8, 7, 18, 45, 96, 195, 354, 481;   9, 8, 21, 54, 120, 260, 531, 962, 1308;   10, 9, 24, 63, 144, 325, 708, 1443, 2616, 3555;   ... Row 3 = (4, 3, 6, 9) = termwise products of (4, 3, 2, 1) and (1, 1, 3, 9); where A153582 = (1, 1, 3, 9, 24, 65,...). PROG (PARI) tabl(nn) = {my(va = vector(nn), vc = vector(nn)); va[1] = 1; for (n=1, nn, if (n > 1, va[n] = round(exp(1)*va[n-1])); vc[n] = va[n] - sum(k=1, n-1, vc[k]*(n-k+1)); print(vector(n, k, vc[k]*(n-k+1))); ); } \\ Michel Marcus, Jan 28 2019 CROSSREFS Cf. A024581, A153582, A004736 Sequence in context: A133926 A144337 A143929 * A029163 A196191 A137661 Adjacent sequences:  A153580 A153581 A153582 * A153584 A153585 A153586 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Dec 28 2008 EXTENSIONS More terms from Michel Marcus, Jan 28 2019 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 02:42 EST 2020. Contains 338781 sequences. (Running on oeis4.)