A219657 -id:A219657 - cp's OEIS frontend

A219659 Irregular table where row n (n >= 0) starts with n, the next term is A219651(n), and the successive terms are obtained by repeatedly subtracting the sum of digits in the previous term's factorial expansion, until zero is reached, after which the next row starts with one larger n.

0, 1, 0, 2, 1, 0, 3, 1, 0, 4, 2, 1, 0, 5, 2, 1, 0, 6, 5, 2, 1, 0, 7, 5, 2, 1, 0, 8, 6, 5, 2, 1, 0, 9, 6, 5, 2, 1, 0, 10, 7, 5, 2, 1, 0, 11, 7, 5, 2, 1, 0, 12, 10, 7, 5, 2, 1, 0, 13, 10, 7, 5, 2, 1, 0, 14, 11, 7, 5, 2, 1, 0, 15, 11, 7, 5, 2, 1, 0, 16, 12, 10, 7, 5, 2, 1, 0

Offset: 0

Antti Karttunen, Nov 25 2012

Rows converge towards A219666 (reversed).

See A007623 for the Factorial number system representation.

A. Karttunen, Rows 0..120, flattened

Cf. A007623, A034968, A219651, A219657. Analogous sequence for binary system: A218254, for Zeckendorf expansion: A219649.

A219647 Positions of zeros in A219649.

Original entry on oeis.org

0, 2, 5, 9, 13, 18, 23, 29, 36, 43, 51, 59, 67, 76, 85, 95, 105, 115, 126, 137, 148, 160, 172, 185, 198, 211, 225, 239, 253, 268, 283, 298, 314, 330, 347, 364, 382, 400, 418, 437, 456, 475, 495, 515, 535, 556, 577, 599, 621, 643, 666, 689, 712, 735, 759, 784

Offset: 0

Antti Karttunen, Nov 24 2012

nonn

Antti Karttunen, Table of n, a(n) for n = 0..10946

Analogous sequence for binary system: A213707, for factorial number system: A219657.

Cf. A219646, A219649.

Scheme
```
(define (A219647 n) (+ n (A219646 n)))
```

a(n) = n+A219646(n).

A219656 Partial sums of A219652.

Original entry on oeis.org

0, 1, 3, 5, 8, 11, 15, 19, 24, 29, 34, 39, 45, 51, 57, 63, 70, 77, 84, 91, 99, 107, 115, 123, 132, 141, 151, 161, 171, 181, 192, 203, 214, 225, 237, 249, 261, 273, 286, 299, 312, 325, 339, 353, 367, 381, 395, 409, 424, 439, 454, 469, 485, 501, 517, 533, 550

Offset: 0

Antti Karttunen, Nov 25 2012

nonn

A. Karttunen, Table of n, a(n) for n = 0..10080

Used to compute A219657. Analogous sequence for binary system: A213706, for Zeckendorf expansion: A219646.

cp's OEIS Frontend

A219659 Irregular table where row n (n >= 0) starts with n, the next term is A219651(n), and the successive terms are obtained by repeatedly subtracting the sum of digits in the previous term's factorial expansion, until zero is reached, after which the next row starts with one larger n.

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A219647 Positions of zeros in A219649.

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A219656 Partial sums of A219652.

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