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A129327 Second column of PE^3. 14
0, 1, 6, 36, 228, 1545, 11196, 86457, 708504, 6136830, 55976430, 535904259, 5369146272, 56145107577, 611336534802, 6916529431620, 81152874393168, 985767316792449, 12376996566040980, 160399065135692073 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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^3; a(n)= A[ n,2 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,2]

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: A129327 := proc(n) A078938(n+1, 1) ; end: seq(A129327(n), n=0..27) ; # R. J. Mathar, May 30 2008

MATHEMATICA

Table[Sum[BellB[n, 3], {i, 0, n}], {n, -1, 18}] (* Zerinvary Lajos, Jul 16 2009 *)

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: A200378 A085687 A242136 * A244889 A144819 A284647

Adjacent sequences:  A129324 A129325 A129326 * A129328 A129329 A129330

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 19 11:06 EDT 2019. Contains 327192 sequences. (Running on oeis4.)