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A240237 Concatenated digits of pyramidalized numbers: Write the decimal digits of n (a nonnegative integer) and take successive absolute differences ("pyramidalization"), then concatenate, from left to right, all the digits in each level of the pyramid, and finally concatenate those results for all levels, from the base up. The result is a(n). 1
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 101, 110, 121, 132, 143, 154, 165, 176, 187, 198, 202, 211, 220, 231, 242, 253, 264, 275, 286, 297, 303, 312, 321, 330, 341, 352, 363, 374, 385, 396, 404, 413, 422, 431, 440, 451, 462, 473, 484, 495, 505, 514, 523, 532, 541, 550, 561, 572, 583, 594, 606, 615 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Through the so-called "pyramidalization" process a given nonnegative integer is decomposed into its digits, which are "reassembled" afterwards by concatenating each level of the pyramid (separately, from left to right) and subsequently concatenating these results, from the base to the top.
The number of digits of the resulting number is the triangular number t(d) where d is the number of digits in the original number n.
LINKS
Filipi R. de Oliveira, Table of n, a(n) for n = 0..9999
FORMULA
a(n) = n for 0 <= n <= 9;
a(n) = 10*n + |floor(n/10) - (n mod 10)| for 10 <= n <= 99.
EXAMPLE
a(1248) = 1248124121:
1 --> 1
1 2 --> 1.2
1 2 4 --> 1.2.4
1 2 4 8 --> 1.2.4.8 -->> 1248.124.12.1 --> 1248124121
CROSSREFS
Cf. A227876, which describes the pyramidalization process, and A000217 (triangular numbers). Cf. also A007908.
Sequence in context: A056544 A082216 A052426 * A056142 A056525 A071272
KEYWORD
nonn,base,easy
AUTHOR
STATUS
approved

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Last modified February 26 02:39 EST 2024. Contains 370335 sequences. (Running on oeis4.)