Square Pyramidal Number

Author

Eric W. Weisstein
December 8, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/IntegerSequences/SquarePyramidalNumber.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/SquarePyramidalNumber.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Definition

SquarePyramidalNumber[n]

SquarePyramidalNumber/@Range[10]

Generating Function

gf=FullSimplify[PowerSum[SquarePyramidalNumber[n],{x,n}]]

Series[gf,{x,0,5}]

Sum of Fourth Powers

Wrong

{SquarePyramidalNumber[95]+1,20^4+21^4}