Definition:Square Pyramorphic Number/Sequence
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Definition
The sequence of square pyramorphic numbers, for $n \in \Z_{\ge 0}$, begins:
| \(\ds P_1\) | \(=\) | \(\ds 1\) | ||||||||||||
| \(\ds P_5\) | \(=\) | \(\ds 55\) | ||||||||||||
| \(\ds P_{25}\) | \(=\) | \(\ds 5525\) | ||||||||||||
| \(\ds P_{40}\) | \(=\) | \(\ds 22 \, 140\) | ||||||||||||
| \(\ds P_{65}\) | \(=\) | \(\ds 93 \, 665\) | ||||||||||||
| \(\ds P_{80}\) | \(=\) | \(\ds 1 \, 043 \, 280\) |
This sequence is A060204 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
The sequence of the index elements is A093534 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Sources
- 1991: Clifford A. Pickover: Computers and the Imagination: Chapter $37$: On the Existence of Cakemorphic Integers: Figure $37.4$: Square pyramorphic numbers