The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A078938 Cube of lower triangular matrix of A056857 (successive equalities in set partitions of n). 16
 1, 3, 1, 12, 6, 1, 57, 36, 9, 1, 309, 228, 72, 12, 1, 1866, 1545, 570, 120, 15, 1, 12351, 11196, 4635, 1140, 180, 18, 1, 88563, 86457, 39186, 10815, 1995, 252, 21, 1, 681870, 708504, 345828, 104496, 21630, 3192, 336, 24, 1, 5597643, 6136830, 3188268 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Cube of the matrix exp(P)/exp(1) given in A011971. - Gottfried Helms, Apr 08 2007. Base matrix in A011971, second power in A129321, third power in this entry, fourth power in A078939 First column gives A027710. Row sums give A078940. Riordan array [exp(3*exp(x)-3),x], whose production matrix has e.g.f. exp(x*t)(t+3*exp(x)). [From Paul Barry, Nov 26 2008] LINKS FORMULA PE=exp(matpascal(5))/exp(1); A = PE^3; a(n)= A[ n,sequentially read ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,sequentially read] - Gottfried Helms, Apr 08 2007 Exponential function of 3*Pascal's triangle (taken as a lower triangular matrix) divided by e^3: [A078938] = (1/e^3)*exp(3*[A007318]) = [A056857]^3. EXAMPLE Rows: 1, 3,1, 12,6,1, 57,36,9,1, 309,228,72,12,1, 1866,1545,570,120,15,1, 12351,11196,4635,1140,180,18,1, ... PROG (PARI) m=matpascal(5)-matid(6); pe=matid(6)+m/1! + m^2/2!+m^3/3!+m^4/4!+m^5/5! ; A = pe^3 - Gottfried Helms, Apr 08 2007 CROSSREFS Cf. A056857, A078937, A078939, A078940, A027710. Cf. A078938, A078944, A078945, A000110. Cf. A129321, A129323, A129324, A129325, A027710. Cf. A129327, A129328, A129329, A078944, A129331, A129332, A129333. Sequence in context: A201638 A127894 A127898 * A135888 A329433 A258245 Adjacent sequences:  A078935 A078936 A078937 * A078939 A078940 A078941 KEYWORD nonn,tabl AUTHOR Paul D. Hanna, Dec 18 2002 EXTENSIONS Entry revised by N. J. A. Sloane, Apr 25 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 22 10:56 EDT 2021. Contains 345375 sequences. (Running on oeis4.)