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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 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.)