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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 A132098 A223513

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 October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)