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Search: id:A133211
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| A133211 |
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Sum of all n-digit Perrin numbers. |
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+0
1
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| 27, 338, 3113, 29524, 280003, 3619458, 33362676, 316408590, 3000790339, 28459223116, 367878072268, 3390948851403, 32159451022886, 304997313558856, 2892566829325533, 37390757461695633, 344652632558806213
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Perrin Sequence.
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EXAMPLE
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Sum of all 1-digit Perrin numbers = 27.
Sum of all 2-digit Perrin numbers = 338.
Sum of all 3-digit Perrin numbers = 3113.
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MATHEMATICA
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a[n_] := a[n] = a[n - 2] + a[n - 3]; a[0] = 3; a[1] = 0; a[2] = 2; t = Table[a@n, {n, 0, 150}]; Table[Plus @@ Select[t, 10^(n - 1) -1 < # < 10^n &], {n, 18}] - Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 14 2007
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CROSSREFS
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Cf. A001608.
Sequence in context: A048709 A160223 A076394 this_sequence A029947 A030673 A030683
Adjacent sequences: A133208 A133209 A133210 this_sequence A133212 A133213 A133214
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KEYWORD
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nonn,base
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Oct 11 2007
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 14 2007
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