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 A334025 a(0)=0, a(1)=1; and a(n) = {2*a(n-2), 2*a(n-1)}, where {x,y} is the concatenation of x and y. 0
 0, 1, 2, 24, 448, 48896, 89697792, 97792179395584, 179395584195584358791168, 195584358791168358791168391168717582336, 358791168391168717582336391168717582336717582336782337435164672 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence, due to the process of concatenating one number with another, bears similarities to A131293 and other familiar sequences. However, unlike A131293, this sequence increases at a faster rate. It happens due to the multiplier applied to the existing terms, which increases the number of digits present in the successive term drastically (see a(7) and a(8)). a(11) is too large to include here and has 102 digits. LINKS Table of n, a(n) for n=0..10. EXAMPLE a(2) = {2*a(2-2), 2*a(2-1)} = {2*0, 2*1} = 02 = 2. a(5) = {2*a(5-2), 2*a(5-1)} = {2*24, 2*448} = 48896. MATHEMATICA a[0] = 0; a[1] = 1; a[n_] := a[n] = FromDigits @ Join[IntegerDigits[2*a[n - 2]], IntegerDigits[2*a[n - 1]]]; Array[a, 11, 0] (* Amiram Eldar, Apr 18 2020 *) CROSSREFS Cf. A002605, A061107, A108047, A131293, A008352, A113526, A104458. Sequence in context: A337505 A228843 A317662 * A341958 A360975 A052712 Adjacent sequences: A334022 A334023 A334024 * A334026 A334027 A334028 KEYWORD nonn,base AUTHOR Jamie Robert Creasey, Apr 14 2020 STATUS approved

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Last modified August 8 23:29 EDT 2024. Contains 375024 sequences. (Running on oeis4.)