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 A133211 Sum of all n-digit Perrin numbers. 0
 27, 338, 3113, 29524, 280003, 3619458, 33362676, 316408590, 3000790339, 28459223116, 367878072268, 3390948851403, 32159451022886, 304997313558856, 2892566829325533, 37390757461695633, 344652632558806213, 3268654274185743387, 30999620356388134160, 293997584825511430878 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..20. Eric Weisstein's World of Mathematics, Perrin Sequence. EXAMPLE Sum of all 1-digit Perrin numbers = 3 + 0 + 2 + 3 + 2 + 5 + 5 + 7 = 27. Sum of all 2-digit Perrin numbers = 10 + 12 + 17 + 22 + 29 + 39 + 51 + 68 + 90 = 338. Sum of all 3-digit Perrin numbers = 119 + 158 + 209 + 277 + 367 + 486 + 644 + 853 = 3113. MATHEMATICA 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, Oct 14 2007 With[{pernos=LinearRecurrence[{0, 1, 1}, {3, 0, 2}, 200]}, Table[Total[ Select[ pernos, IntegerLength[#]==n&]], {n, 20}]] (* Harvey P. Dale, Apr 20 2012 *) CROSSREFS Cf. A001608. Sequence in context: A160223 A182668 A076394 * A178983 A029947 A030673 Adjacent sequences: A133208 A133209 A133210 * A133212 A133213 A133214 KEYWORD nonn,base,less AUTHOR Parthasarathy Nambi, Oct 11 2007 EXTENSIONS More terms from Robert G. Wilson v, Oct 14 2007 More terms from Amiram Eldar, Nov 30 2019 STATUS approved

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Last modified June 10 13:46 EDT 2023. Contains 363205 sequences. (Running on oeis4.)