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!)
 A176158 A polynomial coefficient sequence:p(x,n,m)=(1 + 2*Binomial[n, m]*x)^n 0
 1, 3, 3, 9, 25, 9, 27, 343, 343, 27, 81, 6561, 28561, 6561, 81, 243, 161051, 4084101, 4084101, 161051, 243, 729, 4826809, 887503681, 4750104241, 887503681, 4826809, 729, 2187, 170859375, 271818611107, 9095120158391, 9095120158391 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are: {1, 6, 43, 740, 41845, 8490790, 6534766679, 18734219262120, 209617607911694569, 8719076076193077820874, 1429879617351180068934959131,...}. LINKS FORMULA p(x,n,m)=(1 + 2*Binomial[n, m]*x)^n EXAMPLE {1}, {3, 3}, {9, 25, 9}, {27, 343, 343, 27}, {81, 6561, 28561, 6561, 81}, {243, 161051, 4084101, 4084101, 161051, 243}, {729, 4826809, 887503681, 4750104241, 887503681, 4826809, 729}, {2187, 170859375, 271818611107, 9095120158391, 9095120158391, 271818611107, 170859375, 2187}, {6561, 6975757441, 111429157112001, 26584441929064321, 156225851787813921, 26584441929064321, 111429157112001, 6975757441, 6561}, {19683, 322687697779, 58871586708267913, 112455406951957393129, 4247023759235185531933, 4247023759235185531933, 112455406951957393129, 58871586708267913, 322687697779, 19683}, {59049, 16679880978201, 38941611811810745401, 660952768068482275874401, 174912544792453358346502201, 1078732544346879404306640625, 174912544792453358346502201, 660952768068482275874401, 38941611811810745401, 16679880978201, 59049} MATHEMATICA Clear[p, n, m]; p[x_, n_, m_] := (1 + 2*Binomial[n, m]*x)^n; Table[Table[ Apply[Plus, CoefficientList[p[x, n, m], x]], {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A257180 A184694 A215885 * A083008 A268092 A229024 Adjacent sequences:  A176155 A176156 A176157 * A176159 A176160 A176161 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Apr 10 2010 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 May 28 12:18 EDT 2020. Contains 334681 sequences. (Running on oeis4.)