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A158116 Triangle read by rows: T(n,k) = 6^(k*(n-k)). 2
1, 1, 1, 1, 6, 1, 1, 36, 36, 1, 1, 216, 1296, 216, 1, 1, 1296, 46656, 46656, 1296, 1, 1, 7776, 1679616, 10077696, 1679616, 7776, 1, 1, 46656, 60466176, 2176782336, 2176782336, 60466176, 46656, 1, 1, 279936, 2176782336, 470184984576, 2821109907456, 470184984576, 2176782336, 279936, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are: 1, 2, 8, 74, 1730, 95906, 13452482, 4474590338, 3765834001154, 7515593525150210, 37950930250093661186, ...

LINKS

Table of n, a(n) for n=0..45.

FORMULA

T(n,k) = 6^(k*(n-k)). - Tom Edgar, Feb 20 2014

T(n,k) = 1/n*(6^(n-k)*k*T(n-1,k-1) + 6^k*(n-k)*T(n-1,k)). - Tom Edgar, Feb 20 2014

EXAMPLE

Triangle starts:

1,

1, 1,

1, 6, 1,

1, 36, 36, 1,

1, 216, 1296, 216, 1,

1, 1296, 46656, 46656, 1296, 1,

1, 7776, 1679616, 10077696, 1679616, 7776, 1,

1, 46656, 60466176, 2176782336, 2176782336, 60466176, 46656, 1,

1, 279936, 2176782336, 470184984576, 2821109907456, 470184984576, 2176782336, 279936, 1,

...

PROG

(PARI) T(n, k) = 6^(k*(n-k));

for (n=0, 11, for (k=0, n, print1(T(n, k), ", ")); print(); ); \\ Joerg Arndt, Feb 21 2014

CROSSREFS

Cf. A118180, A118185, A118190, A117401.

Sequence in context: A156601 A178232 A203338 * A172343 A058875 A156764

Adjacent sequences:  A158113 A158114 A158115 * A158117 A158118 A158119

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Mar 12 2009

EXTENSIONS

Overall edit and new name by Tom Edgar and Joerg Arndt, Feb 21 2014

STATUS

approved

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Last modified September 17 06:41 EDT 2019. Contains 327119 sequences. (Running on oeis4.)