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A129329 Fourth column of PE^3. 14
0, 0, 0, 1, 12, 120, 1140, 10815, 104496, 1037484, 10627560, 112508550, 1231481460, 13933510734, 162864103584, 1965078765195, 24453461392080, 313549334233440, 4138796594051568, 56188737057169593, 783876449182595400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Base matrix is in A011971; second power is in A078937; third power is in A078938; fourth power is in A078939.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

PE=exp(matpascal(5))/exp(1); A = PE^3; a(n)= A[ n,4 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,4]

MAPLE

A056857 := proc(n, c) combinat[bell](n-1-c)*binomial(n-1, c) ; end: A078937 := proc(n, c) add( A056857(n, k)*A056857(k+1, c), k=0..n) ; end: A078938 := proc(n, c) add( A078937(n, k)*A056857(k+1, c), k=0..n) ; end: A129329 := proc(n) A078938(n+1, 3) ; end: seq(A129329(n), n=0..27) ; # R. J. Mathar, May 30 2008

CROSSREFS

Cf. A056857, A078937, A078938, A078944, A078945, A000110.

Cf. A078937, A078938, A129323, A129324, A129325, A027710.

Cf. A129327, A129328, A129329, A078944, A129331, A129332, A129333.

Sequence in context: A115902 A277491 A004332 * A266393 A129332 A004291

Adjacent sequences:  A129326 A129327 A129328 * A129330 A129331 A129332

KEYWORD

nonn,easy

AUTHOR

Gottfried Helms, Apr 08 2007

EXTENSIONS

More terms from R. J. Mathar, May 30 2008

STATUS

approved

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Last modified September 17 12:56 EDT 2019. Contains 327131 sequences. (Running on oeis4.)