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Search: id:A082454
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| A082454 |
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a(n)=p[n]+p[n-1]+a(n-1) and {a[0]=0,a[1]=0}. |
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+0
3
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| 0, 0, 5, 3, 9, 9, 15, 15, 21, 21, 31, 29, 39, 39, 45, 45, 55, 57, 63, 65, 73, 71, 81, 81, 91, 95, 103, 101, 109, 107, 115, 125, 133, 135, 141, 147, 153, 155, 165, 165, 175, 177, 183, 189, 195, 195, 201, 209, 225, 225, 231, 231, 241, 239, 253, 255, 265, 267, 273, 275
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OFFSET
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0,3
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EXAMPLE
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In fact only one initial value is needed.
If initial values were {a[0]=0,a[1]=1} then A014687 was obtained.
p[10]+p[11]=29+31=a[10]+a[11]=31+29 (order was reversed!).
If initial values were {a[0]=1,a[1]=2} then A000040, the prime number seq was obtained.
p[10]+p[11]=29+31=a[10]+a[11]=29+31 [identity..]].
Initial values {a[0]=1,a[1]=3} give A014686.
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MATHEMATICA
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g[x_] := Prime[x]+Prime[x-1]-g[x-1] g[0]=0; g[1]=0; Table[g[w], {w, 0, 100}]
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CROSSREFS
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Cf. A000040, A014686, A014687, A082455.
Sequence in context: A086970 A019955 A075693 this_sequence A108245 A141620 A049829
Adjacent sequences: A082451 A082452 A082453 this_sequence A082455 A082456 A082457
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 25 2003
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