Sequences from Pentagonal Pyramids of Integers - HIKARI Ltd
Sequences from Pentagonal Pyramids of Integers - HIKARI Ltd
Sequences from Pentagonal Pyramids of Integers - HIKARI Ltd
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628 T. Aaron Gulliver<br />
Finally, the last wedge gives<br />
0, 0, 16, 35 + 36 + 37, 66 + 67 + 68 + 69 + 70 + 71, ... , (16)<br />
or<br />
0, 0, 16, 108, 411, ... ,<br />
with<br />
s n = 1(n − 1)(n − 8 2)(2n3 + n 2 − n +4).<br />
References<br />
[1] T.A. Gulliver, <strong>Sequences</strong> <strong>from</strong> Arrays <strong>of</strong> <strong>Integers</strong>, Int. Math. J. 1 323–332<br />
(2002).<br />
[2] T.A. Gulliver, <strong>Sequences</strong> <strong>from</strong> Integer Tetrahedrons, Int. Math. Forum, 1,<br />
517–521 (2006).<br />
[3] T.A. Gulliver, <strong>Sequences</strong> <strong>from</strong> <strong>Pyramids</strong> <strong>of</strong> <strong>Integers</strong>, Int. J. Pure and Applied<br />
Math. 36 161–165, (2007).<br />
[4] T.A. Gulliver, <strong>Sequences</strong> <strong>from</strong> Cubes <strong>of</strong> <strong>Integers</strong>, Int. Math. J. 4, 439–445,<br />
(2003). Correction Int. Math. Forum, vol. 1, no, 11, pp. 523-524.<br />
[5] N.J.A. Sloane, On-Line Encyclopedia <strong>of</strong> Integer <strong>Sequences</strong>,<br />
http://www.research.att.com/˜njas/sequences/index.html.<br />
Received: June, 2009
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