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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

Table of n, a(n) for n=0..65.

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

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Last modified November 30 02:42 EST 2020. Contains 338781 sequences. (Running on oeis4.)