Search: id:A066370 Results 1-1 of 1 results found. %I A066370 %S A066370 0,1,231,26796,1186570,26357430,359026206,3413156131,24666759216, %T A066370 143717956515,703974775735,2989908659661,11270904497931,38398515291136, %U A066370 119929709686710,347357071281165,941718655098991,2408309883851256 %N A066370 Quadruply triangular numbers. %C A066370 See sequences A000217, A002817 and A064322 for triangular, doubly triangular and triply triangular numbers, respectively. %F A066370 a(n) = n*(n + 1)*(n^2 + n + 2)*(n^4 + 2*n^3 + 3*n^2 + 2*n + 8)*(n^8 + 4*n^7 + 10*n^6 + 16*n^5 + 25*n^4 + 28*n^3 + 28*n^2 + 16*n + 128)/ 32768. %F A066370 a(n) = A064322(n)*(A064322(n) + 1)/2 = A000217(A000217(A000217(A000217(n)))) %e A066370 a(2)=231 as A000217(A000217(A000217(A000217(2))))=231 is the second quadruply-triangular number. %t A066370 f[n_] := n(n + 1)/2; Table[ Nest[f, n, 4], {n, 0, 17}] (from Robert G. Wilson v Jun 30 2004) %Y A066370 Sequence in context: A029569 A152102 A152500 this_sequence A139412 A027551 A068750 %Y A066370 Adjacent sequences: A066367 A066368 A066369 this_sequence A066371 A066372 A066373 %K A066370 nonn %O A066370 0,3 %A A066370 Brian Bayerle (bbayer03(AT)providence.edu), Dec 22 2001 Search completed in 0.001 seconds