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 A218018 Triangle, read by rows, where T(n,k) = k!*C(n, k)*11^(n-k) for n>=0, k=0..n. 1
 1, 11, 1, 121, 22, 2, 1331, 363, 66, 6, 14641, 5324, 1452, 264, 24, 161051, 73205, 26620, 7260, 1320, 120, 1771561, 966306, 439230, 159720, 43560, 7920, 720, 19487171, 12400927, 6764142, 3074610, 1118040, 304920, 55440, 5040, 214358881 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Triangle formed by the derivatives of x^n evaluated at x=11. Also: first column: A001020; second column: A081127; third column: 2*A081141. LINKS Vincenzo Librandi, Rows n = 0..100, flattened FORMULA T(n,k) = 11^(n-k)*n!/(n-k)! for n>=0, k=0..n. E.g.f. (by columns): exp(11*x)*x^k. EXAMPLE Triangle begins: 1; 11, 1; 121, 22, 2; 1331, 363, 66, 6; 14641, 5324, 1452, 264, 24; 161051, 73205, 26620, 7260, 1320, 120; 1771561, 966306, 439230, 159720, 43560, 7920, 720; 19487171, 12400927, 6764142, 3074610, 1118040, 304920, 55440, 5040; etc. MATHEMATICA Flatten[Table[n!/(n-k)! * 11^(n-k), {n, 0, 10}, {k, 0, n}]] PROG (Magma) [Factorial(n)/Factorial(n-k)*11^(n-k): k in [0..n], n in [0..10]]; CROSSREFS Cf. A001020, A081127, A081141, A217629, A218016, A218017. Sequence in context: A282420 A282683 A038315 * A093158 A335157 A330077 Adjacent sequences: A218015 A218016 A218017 * A218019 A218020 A218021 KEYWORD nonn,tabl,easy AUTHOR Vincenzo Librandi, Nov 17 2012 STATUS approved

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Last modified January 28 05:03 EST 2023. Contains 359850 sequences. (Running on oeis4.)