A247212 Exponential generating function = (1+x)^(1+x^2).

1, 1, 0, 6, 12, -20, 420, -252, -336, 66960, -368640, 2328480, 2898720, -117767520, 1720764864, -12297479040, 58230547200, 312819736320, -9239378296320, 128087696977920, -1154590730496000, 7050771080478720, 398679450301440, -591762353886950400, 6580219687752775680

Offset: 0

Author

Franklin T. Adams-Watters, Nov 29 2014

Keywords

• sign

Examples

			(1+x)^(1+x^2) = 1+x+x^3+(1/2)*x^4-(1/6)*x^5+(7/12)*x^6-(1/20)*x^7-(1/120)*x^8+(31/168)*x^9-(32/315)*x^10+(7/120)*x^11+...
		

Crossrefs

Cf. A005727, A007120, A247256.

Programs

Mathematica

With[{nn=30},CoefficientList[Series[(1+x)^(1+x^2),{x,0,nn}],x] Range[ 0,nn]!] (* Harvey P. Dale, Aug 24 2019 *)

PARI

Vec(serlaplace((1+x+O(x^25))^(1+x^2)))