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A129333 Fourth column of PE^4. 14
0, 0, 0, 1, 16, 200, 2320, 26460, 303968, 3557904, 42676320, 526076100, 6673368240, 87148818328, 1171554274800, 16206294360620, 230561544221120, 3371256518888480, 50628767109223872, 780358333403627796 (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..19.

FORMULA

PE=exp(matpascal(5))/exp(1); A = PE^4; a(n)= A[ n,4 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^4; 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: A078939 := proc(n, c) add( A078938(n, k)*A056857(k+1, c), k=0..n) ; end: A129333 := proc(n) A078939(n+1, 3) ; end: seq(A129333(n), n=0..25) ; # 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: A257289 A125451 A154348 * A001810 A016165 A282834

Adjacent sequences:  A129330 A129331 A129332 * A129334 A129335 A129336

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 July 23 16:14 EDT 2019. Contains 325258 sequences. (Running on oeis4.)