Truncated triangular pyramid number

A truncated triangular pyramid number is found by removing (truncating) some smaller tetrahedral number (or triangular pyramidal number) from each of the vertices of a bigger tetrahedral number.

The number to be removed (truncated) may be same or different from each of the vertices.

Every tetrahedral number or triangular pyramidal number (sequence A000292 in the OEIS) relates at least to the closest lesser number in Truncated Triangular Pyramid Number series (sequence A051937 in the OEIS) by such symmetric or asymmetric removals / partitions / truncations of smaller tetrahedral numbers from each of the vertices - unless the difference between the tetrahedral number and its closest lesser Truncated Triangular Pyramid number is part of the special Pollock tetrahedral numbers conjecture series (sequence A000797 in the OEIS) which includes numbers that are not a sum of at most 4 tetrahedral numbers.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.