Definition:Square Pyramorphic Number
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Definition
A square pyramorphic number is a square pyramidal number $P_n$ whose decimal representation ends in $n$.
Sequence of Square Pyramorphic Numbers
The sequence of square pyramorphic numbers, for $n \in \Z_{\ge 0}$, begins:
| \(\ds P_1\) | \(=\) | \(\ds 1\) | ||||||||||||
| \(\ds P_5\) | \(=\) | \(\ds 55\) | ||||||||||||
| \(\ds P_{25}\) | \(=\) | \(\ds 5525\) | ||||||||||||
| \(\ds P_{40}\) | \(=\) | \(\ds 22 \, 140\) | ||||||||||||
| \(\ds P_{65}\) | \(=\) | \(\ds 93 \, 665\) | ||||||||||||
| \(\ds P_{80}\) | \(=\) | \(\ds 1 \, 043 \, 280\) |
Sources
- 1991: Clifford A. Pickover: Computers and the Imagination: Chapter $37$: On the Existence of Cakemorphic Integers: Figure $37.4$: Square pyramorphic numbers
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $399,877,410,625$