

A180339


Triangle by rows, A137710 * a diagonalized variant of A001906


3



1, 2, 1, 4, 1, 3, 8, 2, 3, 8, 16, 4, 6, 8, 21, 32, 8, 12, 16, 21, 55, 64, 16, 24, 32, 42, 55, 144, 128, 32, 48, 64, 84, 110, 144, 377, 256, 64, 96, 128, 168, 220, 288, 377, 987
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OFFSET

0,2


COMMENTS

Row sums = the even indexed Fibonacci numbers starting (1, 3, 8, 21,...).
Triangle A180339 has (1, 2, 4, 8, 16,...) as the left border with all other
columns = (1, 1, 2, 4, 8, 16,...). The eigensequence of triangle A180339 =
the odd indexed Fibonacci numbers: (1, 3, 8, 21, 55,...).
Row sums of nth row = rightmost term of next row.


LINKS

Table of n, a(n) for n=0..44.


FORMULA

Let triangle A137710 = M as an infinite lower triangular matrix, with Q =
a diagonalized variant of A001906 (1, 1, 3, 8, 21, 55,... as the main diagonal
and the rest zeros). Triangle A180339 = M*Q.


EXAMPLE

First few rows of the triangle =
1;
2, 1;
4, 1, 3;
8, 2, 3, 8;
16, 4, 6, 8, 21;
32, 8, 12, 16, 21, 55;
64, 16, 24, 32, 42, 55, 144;
128, 32, 48, 64, 84, 110, 144, 377;
256, 64, 96, 128, 168, 220, 288, 377, 987;
512, 128, 192, 256, 336, 440, 576, 754, 987, 2584;
...


CROSSREFS

Cf. A137710, A001906
Sequence in context: A306944 A049776 A286235 * A079276 A210445 A126210
Adjacent sequences: A180336 A180337 A180338 * A180340 A180341 A180342


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Aug 28 2010


STATUS

approved



