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A014799 Squares of odd pentagonal pyramidal numbers. 5
1, 5625, 164025, 1399489, 6765201, 23532201, 66015625, 159138225, 342731169, 676572121, 1246160601, 2169230625, 3603000625, 5752160649, 8877596841, 13305853201, 19439330625, 27767223225, 38877191929, 53467775361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Pentagonal Pyramidal Number

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

MAPLE

seq( (1+2*n)^2*(1+4*n)^4, n=0..30); # Muniru A Asiru, Oct 09 2017

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 *)

PROG

(Magma) [(1+2*n)^2*(1+4*n)^4: n in [0..30]]; // Vincenzo Librandi, Apr 18 2012

(GAP) A014799:=List(Filtered(List([0..10^2], n->n^2*(n+1)/2), IsOddInt), i->i^2); # Muniru A Asiru, Oct 09 2017

CROSSREFS

Cf. A002411, A014800, A015223, A015224.

Sequence in context: A202098 A247261 A203831 * A031573 A031753 A045128

Adjacent sequences:  A014796 A014797 A014798 * A014800 A014801 A014802

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian

STATUS

approved

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Last modified October 7 14:13 EDT 2022. Contains 357271 sequences. (Running on oeis4.)