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 A167565 A triangle related to the a(n) formulas for the rows of the ED2 array A167560. 6
 1, 2, 0, 3, 1, 2, 4, 4, 16, 0, 5, 10, 67, 14, 24, 6, 20, 202, 124, 368, 0, 7, 35, 497, 601, 2736, 444, 720, 8, 56, 1064, 2120, 13712, 6464, 16896, 0, 9, 84, 2058, 6096, 53121, 48876, 186732, 25584, 40320, 10, 120, 3684, 15168, 171258, 257640, 1350296 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The a(n) formulas given below correspond to the first ten rows of the ED2 array A167560. The recurrence relations for the a(n) formulas for the left hand triangle columns, see the cross-references below, lead to the sequences A003148 and A007318. LINKS EXAMPLE Row 1: a(n) = 1. Row 2: a(n) = 2*n + 0. Row 3: a(n) = 3*n^2 + 1*n + 2. Row 4: a(n) = 4*n^3 + 4*n^2 + 16*n + 0. Row 5: a(n) = 5*n^4 + 10*n^3 + 67*n^2 + 14*n + 24. Row 6: a(n) = 6*n^5 + 20*n^4 + 202*n^3 + 124*n^2 + 368*n + 0. Row 7: a(n) = 7*n^6 + 35*n^5 + 497*n^4 + 601*n^3 + 2736*n^2 + 444*n + 720. Row 8: a(n) = 8*n^7 + 56*n^6 + 1064*n^5 + 2120*n^4 + 13712*n^3 + 6464*n^2 + 16896*n + 0. Row 9: a(n) = 9*n^8 + 84*n^7 + 2058*n^6 + 6096*n^5 + 53121*n^4 + 48876*n^3 + 186732*n^2 + 25584*n + 40320. Row 10: a(n) = 10*n^9 + 120*n^8 + 3684*n^7 + 15168*n^6 + 171258*n^5 + 257640*n^4 + 1350296*n^3 + 533472*n^2 + 1297152*n + 0. CROSSREFS A167560 is the ED2 array. A000012, A005843 (n=>1), 2*A104249 (n=>1), A167561, A167562 and A167563 equal the first sixth rows of the array. A005359 equals the first right hand triangle column. A000027, A000292, A167566, A167567 and A168304 equal the first five left hand triangle columns. A000142 equals the row sums. Cf. A003148 and A007318. Sequence in context: A125940 A071504 A125943 * A199470 A098006 A082650 Adjacent sequences:  A167562 A167563 A167564 * A167566 A167567 A167568 KEYWORD nonn,tabl AUTHOR Johannes W. Meijer, Nov 10 2009 EXTENSIONS Comment and links added by Johannes W. Meijer, Nov 23 2009 STATUS approved

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Last modified December 16 06:18 EST 2019. Contains 330016 sequences. (Running on oeis4.)