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A129331 Second column of PE^4. 14
0, 1, 8, 60, 464, 3780, 32568, 296492, 2845088, 28695060, 303334920, 3351877628, 38622668400, 463036981732, 5764038605528, 74365952622540, 992720923710272, 13690497077256628, 194777994524434344, 2855149354656290716 (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
FORMULA
PE=exp(matpascal(5))/exp(1); A = PE^4; a(n)= A[ n,2 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^4; 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: A078939 := proc(n, c) add( A078938(n, k)*A056857(k+1, c), k=0..n) ; end: A129331 := proc(n) A078939(n+1, 1) ; end: seq(A129331(n), n=0..25) ; # R. J. Mathar, May 30 2008
MATHEMATICA
Table[Sum[BellB[n, 4], {i, 0, n}], {n, -1, 18}] (* Zerinvary Lajos, Jul 16 2009 *)
CROSSREFS
Sequence in context: A228514 A233666 A199526 * A369146 A005990 A160228
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 March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)