A094344 - OEIS

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A094344

Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.

2

1, 0, 1, 0, 1, 1, 0, 2, 4, 1, 0, 6, 18, 13, 1, 0, 24, 96, 119, 46, 1, 0, 120, 600, 1059, 777, 199, 1, 0, 720, 4320, 9890, 10760, 5536, 1072, 1, 0, 5040, 35280, 99158, 142990, 111316, 44228, 6985, 1, 0, 40320, 322560, 1073692, 1926312, 2009578, 1217352, 395865, 53218, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,8

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Sum_{k=0..n} T(n,k)*3^(n-k) = A128709(n). - Philippe Deléham, Mar 27 2007

EXAMPLE

Triangle begins:

1;

0, 1;

0, 1, 1;

0, 2, 4, 1;

0, 6, 18, 13, 1;

0, 24, 96, 119, 46, 1;

...

CROSSREFS

Row sums: A094664.

Columns: A000007, A000142, A001563.

Diagonals: A000012, A014145.

Sequence in context: A294390 A152433 A378394 * A211183 A137391 A276207

Adjacent sequences: A094341 A094342 A094343 * A094345 A094346 A094347

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Jun 02 2004

EXTENSIONS

Row 9 completed by Michel Marcus, Jun 20 2023

STATUS

approved