A014799 Squares of odd pentagonal pyramidal numbers.
1, 5625, 164025, 1399489, 6765201, 23532201, 66015625, 159138225, 342731169, 676572121, 1246160601, 2169230625, 3603000625, 5752160649, 8877596841, 13305853201, 19439330625, 27767223225, 38877191929, 53467775361
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Eric Weisstein's World of Mathematics, Pentagonal Pyramidal Number
Programs
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GAP
A014799:=List(Filtered(List([0..10^2], n->n^2*(n+1)/2),IsOddInt),i->i^2); # Muniru A Asiru, Oct 09 2017
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Magma
[(1+2*n)^2*(1+4*n)^4: n in [0..30]]; // Vincenzo Librandi, Apr 18 2012
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Maple
seq( (1+2*n)^2*(1+4*n)^4, n=0..30); # Muniru A Asiru, Oct 09 2017
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Mathematica
Table[(1+2*n)^2*(1+4*n)^4,{n,0,20}] (* Vincenzo Librandi, Apr 18 2012 *) Range[0,20]//(1+2*#)^2*(1+4*#)^4& (* Waldemar Puszkarz, Oct 11 2017 *)
Formula
From Colin Barker, Apr 17 2012: (Start)
a(n) = (1 + 2*n)^2*(1 + 4*n)^4.
G.f.: (1 + 5618*x + 124671*x^2 + 369404*x^3 + 216463*x^4 + 21042*x^5 + 81*x^6) /(1-x)^7. (End)
a(n) = A015223(n)^2. - R. J. Mathar, Jul 30 2016