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0, 8, 17, 27, 38, 50, 63, 77, 92, 108, 125, 143, 162, 182, 203, 225, 248, 272, 297, 323, 350, 378, 407, 437, 468, 500, 533, 567, 602, 638, 675, 713, 752, 792, 833, 875, 918, 962, 1007, 1053, 1100, 1148, 1197, 1247, 1298, 1350, 1403, 1457, 1512, 1568, 1625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)=A000096 + 6 * A001477, a(n)=A056119 + A001477 and a(n)=A056126 - A001477 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 01 2006
a(n) = A126890(n,7) for n>6. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 30 2006
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FORMULA
| G.f.(x)=x(8-7x)/(1-x)^3.
a(n)=C(n,2)-7*n,n>=15 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2006
If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,j=0..k-1),k=0..n-i), then a(n) = -f(n,n-1,8), for n>=1. [From Milan R. Janjic (agnus(AT)blic.net), Dec 20 2008]
a(n)=n+a(n-1)+7 (with a(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 07 2010]
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EXAMPLE
| a(1)=1+0+7=8; a(2)=2+8+7=17; a(3)=3+17+7=27 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 07 2010]
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MAPLE
| a:=n->sum(floor(k+2*n/(k+n)), k=7..n): seq(a(n), n=6..56); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 01 2006
[seq(binomial(n, 2)-7*n, n=15..65)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2006
seq(sum(k, k=8..n), n=7..57); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 09 2008
a:=n->sum(numer (k/(k+3)), k=8..n): seq(a(n), n=7..57); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 31 2008
with(finance):seq(add(cashflows([2, k, 5], 0 ), k=1..n), n=0..50); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 2008
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MATHEMATICA
| i=-7; s=0; lst={}; Do[s+=n+i; If[s>=0, AppendTo[lst, s]], {n, 0, 6!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 29 2008]
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CROSSREFS
| Cf. A056119.
Cf. A000096, A056119, A056126, A056000, A001477.
Sequence in context: A044441 A189381 A190749 * A028884 A099358 A077222
Adjacent sequences: A056118 A056119 A056120 * A056122 A056123 A056124
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Jul 06 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 07 2000
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