Champernowne gamified
Today we'll stage the Champernowne constant.
[A] "The successive sums a(n) + a(n+1) reproduce the decimal expansion of the Champernowne constant."
A = 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, -4, 4, -3, 4, -3, 5, -4, 7, -6, 10, -9, 14, -13, 19, -18, 25, -24, 32, -31, 40, -38, 38, -36, 37, -35, 37, -35, 38, -36, 40, -38, 43, -41, 47, -45, 52, -50, 58, -56, 65, -62, 62, -59, 60, -57, 59, -56, 59, -56, 60, -57, 62, -59, 65, -62, 69, -66, 74, -71, 80, -76, ...
(this will enter the OEIS soon)
Giorgos Kalogeropoulos was quick to produce those (wonderful) graphs:
The second sequence [B] tries to reproduce the decimal part of the above Champernowne constant itself, piece by piece.
[B] "The successive sums a(n) + a(n+1), concatenated, reproduce the concatenation of the decimal expansion of the Champernowne constant".
B = 1,11,23,33,45,865,247,1067,449,1269,651,1471,853,1673,1055,1875,1257,2077,1459,2279,1661,2481,1863,2683,2065,2885,2267,3087,2469,3289,2671,3491,2873,3693,3075,3895,3277,4097,3479,4299,3681,4501,3883,4703,4085,4905,4287,5107,4489,5309,93791,7311,2999,1106,9504,701306,209805,902308,238843,1372868,6746252,5365960,25875291,251837,1039464,2073749,1060386,300985,80406,321005,100426,341025,120446,361045,140466,381065,160486,401085,180506,...(work and calculation nightmare in progress)
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