login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144443 Triangle read by rows: T(n,1)=T(n,n)=1 and T(n,k) = (1+6n-6k)*T(n-1,k-1) +(6k-5)*T(n-1,k) +6*T(n-2,k-1) while 1<k<n. 0
1, 1, 1, 1, 20, 1, 1, 159, 159, 1, 1, 1138, 4254, 1138, 1, 1, 7997, 77878, 77878, 7997, 1, 1, 56016, 1219167, 2984888, 1219167, 56016, 1, 1, 392155, 17633649, 87659315, 87659315, 17633649, 392155, 1, 1, 2745134, 244083268, 2219485106, 4400875078 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Row sums are: s(n) = 1, 2, 22, 320, 6532, 171752, 5535256, 211370240, 9333502096, 467943326240 . with s(n) +2*(5-3n)*s(n-1) -6*s(n-2)=0.

LINKS

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

FORMULA

m=

EXAMPLE

1;

1, 1;

1, 20, 1;

1, 159, 159, 1;

1, 1138, 4254, 1138, 1;

1, 7997, 77878, 77878, 7997, 1;

1, 56016, 1219167, 2984888, 1219167, 56016, 1;

1, 392155, 17633649, 87659315, 87659315, 17633649, 392155, 1;

1, 2745134, 244083268, 2219485106, 4400875078, 2219485106, 244083268, 2745134, 1;

1, 19215993, 3293476176, 51307099824, 179351871126, 179351871126, 51307099824, 3293476176, 19215993, 1;

MATHEMATICA

Clear[A, m, n, j, k] m = j = 6; 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] + j*A[n - 2, k - 1]; a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]

CROSSREFS

Sequence in context: A154652 A155516 A174674 * A257608 A022183 A015146

Adjacent sequences:  A144440 A144441 A144442 * A144444 A144445 A144446

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula and Gary W. Adamson, Oct 05 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 30 19:49 EDT 2020. Contains 333127 sequences. (Running on oeis4.)