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 A067417 Triangle with columns built from certain power sequences. 10
 1, 3, 1, 9, 4, 1, 27, 24, 5, 1, 81, 144, 45, 6, 1, 243, 864, 405, 72, 7, 1, 729, 5184, 3645, 864, 105, 8, 1, 2187, 31104, 32805, 10368, 1575, 144, 9, 1, 6561, 186624, 295245, 124416, 23625, 2592, 189, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The column sequences (without leading 0's) give: A000244 (powers of 3), A067411 for m=0..1 and A067419-24 for m=3..8. The third column (m=2) is A067403. LINKS Indranil Ghosh, Rows 0..125, flattened FORMULA a(n, m) = 1 if n=m; a(n, m)= (m+3)*(3*(m+1))^(n-m-1) if n>m>=0, else 0. G.f. for column m: (x^m)*(1-2*m*x)/(1-3*(m+1)*x). EXAMPLE Triangle starts: {1}; {3,1}; {9,4,1}; {27,24,5,1}; ... CROSSREFS Cf. A009998 (triangle built from powers of (m+1)), A067402, A067410. Sequence in context: A140071 A285280 A285266 * A187887 A016577 A270702 Adjacent sequences:  A067414 A067415 A067416 * A067418 A067419 A067420 KEYWORD nonn,easy,tabl AUTHOR Wolfdieter Lang, Jan 25 2002 STATUS approved

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Last modified August 14 17:44 EDT 2018. Contains 313751 sequences. (Running on oeis4.)