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A235670 Square array read by antidiagonals upwards in which the n-th column gives the partial sums of the n-th column of A211970. 0
1, 2, 1, 4, 2, 1, 8, 4, 2, 1, 14, 7, 3, 2, 1, 24, 12, 5, 3, 2, 1, 40, 19, 8, 4, 3, 2, 1, 64, 30, 12, 6, 4, 3, 2, 1, 100, 45, 17, 9, 5, 4, 3, 2, 1, 154, 67, 24, 13, 7, 5, 4, 3, 2, 1, 232, 97, 34, 17, 10, 8, 6, 5, 4, 3, 2, 1, 344, 139, 47, 22, 14, 8, 6, 5, 4, 3, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The column 0 is related to A008794 in the same way as the column k is related to the generalized (k+4)-gonal numbers, for k >= 1. For more information see A195152 and A211970.

LINKS

Table of n, a(n) for n=0..78.

FORMULA

T(n,k) = Sum_{j=0..n} A211970(j,k), (n>=0, k>=0).

EXAMPLE

Array begins:

1,     1,   1,   1,   1,   1,  1,  1,  1,  1,  1,...

2,     2,   2,   2,   2,   2,  2,  2,  2,  2,  2,...

4,     4,   3,   3,   3,   3,  3,  3,  3,  3,  3,...

8,     7,   5,   4,   4,   4,  4,  4,  4,  4,  4,...

14,   12,   8,   6,   5,   5,  5,  5,  5,  5,  5,...

24,   19,  12,   9,   7,   6,  6,  6,  6,  6,  6,...

40,   30,  17,  13,  10,   8,  7,  7,  7,  7,  7,...

64,   45,  24,  17,  14,  11,  9,  8,  8,  8,  8,...

100,  67,  34,  22,  18,  15, 12, 10,  9,  9,  9,...

154,  97,  47,  29,  22,  19, 16, 13, 11, 10, 10,...

232, 139,  63,  39,  27,  23, 20, 17, 14, 12, 11,...

344, 195,  84,  51,  34,  27, 24, 21, 18, 15, 13,...

504, 272, 112,  65,  44,  32, 28, 25, 22, 19, 16,...

728, 383, 147,  81,  56,  39, 32, 29, 26, 23, 20,...

...

CROSSREFS

Column 1 is A015128, the partial sums of A211971.

Column 2 is A000070, the partial sums of A000041.

Column 3 is A233969, the partial sums of A006950.

Cf. A000217, A001318, A008794, A085787, A057077, A195152, A211970.

Sequence in context: A177953 A138895 A138846 * A130321 A101508 A106471

Adjacent sequences:  A235667 A235668 A235669 * A235671 A235672 A235673

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Jan 13 2014

STATUS

approved

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Last modified January 26 05:10 EST 2020. Contains 331273 sequences. (Running on oeis4.)