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A153342 Binomial transform of triangle A046854 (shifted). +0
4
1, 2, 0, 4, 1, 0, 8, 4, 1, 0, 16, 12, 5, 1, 0, 32, 32, 18, 6, 1, 0, 64, 80, 56, 25, 7, 1, 0, 128, 192, 160, 88, 33, 8, 1, 0, 256, 448, 432, 280, 129, 42, 9, 1, 0, 512, 1024, 1120, 832, 450, 180, 52, 10, 1, 0, 1024, 2304, 2816, 2352, 1452, 681, 242, 63, 11, 1, 0 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = odd indexed Fibonacci numbers.

Mirror image of triangle in A121462 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 31 2008]

Triangle T(n,k), 0<=k<=n, read by rows given by [2,0,0,0,0,0,0,0,0,0,0,0,...] DELTA [0,1/2,1/2,0,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 01 2009]

FORMULA

Triangle read by rows, A007318 * A046854 (shifted down 1 row, inserting a "1" at (0,0).

EXAMPLE

First few rows of the triangle =

1;

2, 0;

4, 1, 0;

8, 4, 1, 0;

16, 12, 5, 1, 0;

32, 32, 18, 6, 1, 0;

64, 80, 56, 25, 7, 1, 0;

128, 192, 160, 88, 33, 8, 1, 0;

256, 448, 432, 280, 129, 42, 9, 1, 0;

512, 1024, 1120, 832, 450, 180, 52, 10, 1, 0;

...

CROSSREFS

Cf. A046854, A001519

Sequence in context: A166589 A153345 A140648 this_sequence A144258 A056859 A090888

Adjacent sequences: A153339 A153340 A153341 this_sequence A153343 A153344 A153345

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 24 2008

EXTENSIONS

Second term corrected by Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 01 2009

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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