Search: id:A063523 Results 1-1 of 1 results found. %I A063523 %S A063523 0,1,18,67,164,325,566,903,1352,1929,2650,3531,4588,5837,7294,8975, %T A063523 10896,13073,15522,18259,21300,24661,28358,32407,36824,41625,46826, %U A063523 52443,58492,64989,71950,79391,87328,95777,104754,114275,124356 %N A063523 n*(8*n^2-5)/3. %C A063523 Also as a(n)=(1/6)*(16*n^3-10*n), n>0: structured octagonal anti-diamond numbers (vertex structure 17) (Cf. A100187 = alternate vertex; A100188 = structured anti-diamonds; A100145 for more on structured numbers). - James A. Record (james.record(AT)gmail.com), Nov. 7, 2004. %D A063523 T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (11). %H A063523 Harry J. Smith, Table of n, a(n) for n=0,...,1000 %o A063523 (PARI) { for (n=0, 1000, write("b063523.txt", n, " ", n*(8*n^2 - 5)/3) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 25 2009] %Y A063523 1/12*t*(n^3-n)+n for t = 2, 4, 6, ... gives A004006, A006527, A006003, A005900, A004068, A000578, A004126, A000447, A004188, A004466, A004467, A007588, A062025, A063521, A063522, A063523. %Y A063523 Sequence in context: A044156 A044537 A143859 this_sequence A045234 A158056 A135470 %Y A063523 Adjacent sequences: A063520 A063521 A063522 this_sequence A063524 A063525 A063526 %K A063523 nonn %O A063523 0,3 %A A063523 N. J. A. Sloane (njas(AT)research.att.com), Aug 02 2001 Search completed in 0.002 seconds