Centered Triangular Number

A Centered Polygonal Number consisting of a central dot with three dots around it, and then additional dots in thegaps between adjacent dots. The general term is , and the first few such numbers are 1, 4, 10, 19, 31, 46,64, ... (Sloane's A005448). The Generating Function giving the centered triangular numbers is

References

Sloane, N. J. A. SequenceA005448/M3378in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

• Mangoldt Function
• Manifold
• Mantissa
• Map
• Map Coloring
• Mapes' Method
• Map Folding
• Mapping (Function)
• Mapping Space
• Map Projection
• Marginal Analysis
• Marginal Probability
• Markoff Number
• Markoff's Formulas
• Markov Algorithm
• Markov Chain
• Markov Matrix
• Markov Moves
• Markov Number
• Markov Process
• Markov's Inequality
• Markov Spectrum
• Markov's Theorem
• Marriage Theorem
• Married Couples Problem