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A147644 Triangle read by rows: t(n,m)=Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1], 0]; Mod[If[n > 2, 2*Binomial[n - 2, m - 1], 0],2]=0. 0
1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 6, 10, 6, 1, 1, 7, 16, 16, 7, 1, 1, 8, 23, 32, 23, 8, 1, 1, 9, 31, 55, 55, 31, 9, 1, 1, 10, 40, 86, 110, 86, 40, 10, 1, 1, 11, 50, 126, 196, 196, 126, 50, 11, 1, 1, 12, 61, 176, 322, 392, 322, 176, 61, 12 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:{1, 2, 4, 12, 24, 48, 96, 192, 384, 768, 1536,...}

LINKS

Table of n, a(n) for n=0..64.

EXAMPLE

{1}, {1, 1}, {1, 2, 1}, {1, 5, 5, 1}, {1, 6, 10, 6, 1}, {1, 7, 16, 16, 7, 1}, {1, 8, 23, 32, 23, 8, 1}, {1, 9, 31, 55, 55, 31, 9, 1}, {1, 10, 40, 86, 110, 86, 40, 10, 1}, {1, 11, 50, 126, 196, 196, 126, 50, 11, 1}, {1, 12, 61, 176, 322, 392, 322, 176, 61, 12, 1}

MATHEMATICA

Table[Table[Binomial[n, m] + If[n > 2, 2*Binomial[n - 2, m - 1], 0], {m, 0, n}], {n, 0, 10}]; Flatten[%]

CROSSREFS

A146986, A146987, A028262

Sequence in context: A222679 A058676 A147649 * A158188 A176625 A197342

Adjacent sequences:  A147641 A147642 A147643 * A147645 A147646 A147647

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Nov 09 2008

STATUS

approved

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Last modified October 22 13:15 EDT 2021. Contains 348170 sequences. (Running on oeis4.)