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A142462 Triangle read by rows: T(n,k) (1<=k<=n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m*n-m*k+1)*T(n-1,k-1)+(m*k-m+1)*T(n-1,k), where m = 7. 7
1, 1, 1, 1, 16, 1, 1, 143, 143, 1, 1, 1166, 4290, 1166, 1, 1, 9357, 90002, 90002, 9357, 1, 1, 74892, 1621383, 3960088, 1621383, 74892, 1, 1, 599179, 27016857, 134142043, 134142043, 27016857, 599179, 1, 1, 4793482, 431017552, 3923731798, 7780238494 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Row sums are A084947.

LINKS

Table of n, a(n) for n=1..41.

G. Strasser, Generalisation of the Euler adic, Math. Proc. Camb. Phil. Soc. 150 (2010) 241-256, Triangle A_7(n,k).

FORMULA

m=7; t(n,k,m)=(m*n - m*k + 1)t(n - 1, k - 1) + (m*k - (m-1))t(n - 1, k).

EXAMPLE

{1},

{1, 1},

{1, 16, 1},

{1, 143, 143, 1},

{1, 1166, 4290, 1166, 1},

{1, 9357, 90002, 90002, 9357, 1},

{1, 74892, 1621383, 3960088, 1621383, 74892, 1},

{1, 599179, 27016857, 134142043, 134142043, 27016857, 599179, 1},

{1, 4793482, 431017552, 3923731798, 7780238494, 3923731798, 431017552, 4793482, 1},

{1, 38347913, 6704937380, 104855854292, 366881261054, 366881261054, 104855854292, 6704937380, 38347913, 1}

MATHEMATICA

m=7; ( Pascal level: k=N-1) A[n_, 1] := 1; A[n_, n_] := 1; A[n_, k_] := (m*n - m*k + 1)A[n - 1, k - 1] + (m*k - (m - 1))A[n - 1, k]; a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]

CROSSREFS

For m = ...,-2,-1,0,1,2,3,4,5,6,7, ... we get ..., A225372, A144431, A007318, A008292, A060187, A142458, A142459, A142460, A142461, A142462, ...

Sequence in context: A141697 A202750 A177823 * A203397 A173885 A173585

Adjacent sequences:  A142459 A142460 A142461 * A142463 A142464 A142465

KEYWORD

nonn,tabl,easy

AUTHOR

Roger L. Bagula, Sep 19 2008

EXTENSIONS

Edited by N. J. A. Sloane, May 08 2013

STATUS

approved

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Last modified March 29 02:19 EDT 2020. Contains 333104 sequences. (Running on oeis4.)