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A129324 Third column of PE^2. 14
0, 0, 1, 6, 36, 220, 1410, 9534, 68040, 511704, 4046310, 33560010, 291244668, 2638581972, 24901833866, 244333004790, 2487900487440, 26245651191600, 286408960814862, 3228529392965250, 37544229610105220, 449858650676764140 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

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..21.

FORMULA

PE=exp(matpascal(5))/exp(1); A = PE^2; a(n)=A[n,3] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^2; a(n)=A[n,3]

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: A129324 := proc(n) A078937(n+1, 2) ; end: seq(A129324(n), n=0..23) ; # 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: A033142 A082309 A004319 * A180218 A218991 A166748

Adjacent sequences:  A129321 A129322 A129323 * A129325 A129326 A129327

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 October 15 04:33 EDT 2019. Contains 328026 sequences. (Running on oeis4.)