A082263 -id:A082263 - cp's OEIS frontend

A082259 Triangle read by rows in which the n-th row contains n multiples of n with digit sum n.

1, 2, 20, 3, 12, 21, 4, 40, 112, 220, 5, 50, 140, 230, 320, 6, 24, 42, 60, 114, 132, 7, 70, 133, 322, 511, 700, 1015, 8, 80, 152, 224, 440, 512, 800, 1016, 9, 18, 27, 36, 45, 54, 63, 72, 81, 190, 280, 370, 460, 550, 640, 730, 820, 910, 1090, 209, 308, 407, 506, 605, 704, 803, 902, 2090, 3080, 4070

Offset: 1

Amarnath Murthy, Apr 12 2003

			Triangle begins:
1
2, 20;
3, 12,  21;
4, 40, 112, 220;
5, 50, 140, 230, 320;
6, 24,  42,  60, 114, 132;
7, 70, 133, 322, 511, 700, 1015;
8, 80, 152, 224, 440, 512,  800, 1016;
9, 18,  27,  36,  45,  54,   63,   72,  81;

Alois P. Heinz, Rows n = 1..100, flattened

Cf. A082260, A082261, A082262, A082263, A002998.

Table[Take[Select[n Range[10000],Total[IntegerDigits[#]]==n&],n],{n,20}] // Flatten (* Harvey P. Dale, Sep 16 2019 *)

Corrected by Anne Donovan, May 29 2003

Corrected and extended by David Wasserman, Aug 26 2004

A082260 a(n) = n-th multiple of n with digit sum n.

Original entry on oeis.org

1, 20, 21, 220, 320, 132, 1015, 1016, 81, 1090, 4070, 516, 2353, 2534, 1185, 3760, 3842, 846, 5662, 14960, 3738, 7546, 12857, 7296, 28825, 25298, 6885, 39088, 43877, 78960, 61969, 78368, 64977, 98872, 258965, 69984, 187849, 367688, 199758

Offset: 1

Amarnath Murthy, Apr 12 2003

Alois P. Heinz, Table of n, a(n) for n = 1..100

Main diagonal of A082259 and of A245062.
Row sums give A082261.
Cf. A082262, A082263, A002998.

Corrected and extended by Ray Chandler, Oct 08 2005

A082262 Average of row n of A082259.

Original entry on oeis.org

1, 11, 12, 94, 149, 63, 394, 404, 45, 604, 1244, 294, 1246, 1391, 705, 2149, 2087, 593, 3466, 8930, 2301, 4927, 7025, 4875, 17809, 15083, 5052, 24850, 26858, 67065, 42979, 56453, 56040, 75400, 152351, 59193, 108631, 228827, 145485, 1366618, 465026

Offset: 1

Amarnath Murthy, Apr 12 2003

Cf. A082259, A082260, A082261, A082263, A002998.

a(n) = my(s=0, k=1); for (i=1, n, while (sumdigits(k*n) != n, k++); s += k*n; k++;); s/n; \\ Michel Marcus, Mar 26 2020

a(n) = A082261(n)/n.

Corrected and extended by Ray Chandler, Oct 08 2005

A082261 Row sums in A082259.

Original entry on oeis.org

1, 22, 36, 376, 745, 378, 2758, 3232, 405, 6040, 13684, 3528, 16198, 19474, 10575, 34384, 35479, 10674, 65854, 178600, 48321, 108394, 161575, 117000, 445225, 392158, 136404, 695800, 778882, 2011950, 1332349, 1806496, 1849320, 2563600

Offset: 1

Amarnath Murthy, Apr 12 2003

Cf. A082259, A082260, A082262, A082263, A002998.

Do[s = t = 0; i = 1; While[t < n, If[Plus @@ IntegerDigits[i*n] == n, t++; s += i*n]; i++ ]; Print[s], {n, 1, 50}] (* Ryan Propper, Jul 16 2005 *)

Corrected and extended by Ryan Propper, Jul 16 2005

cp's OEIS Frontend

A082259 Triangle read by rows in which the n-th row contains n multiples of n with digit sum n.

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A082260 a(n) = n-th multiple of n with digit sum n.

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A082262 Average of row n of A082259.

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A082261 Row sums in A082259.

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